375972480 has 192 divisors, whose sum is σ = 1398426120. Its totient is φ = 92528640.

The previous prime is 375972479. The next prime is 375972481. The reversal of 375972480 is 84279573.

375972480 is a `hidden beast` number, since 37 + 597 + 24 + 8 + 0 = 666.

375972480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (375972479) and next prime (375972481).

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 63107136 = 17688^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (375972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72370 + ... + 77390.

Almost surely, 2^375972480 is an apocalyptic number.

375972480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699213060).

375972480 is an abundant number, since it is smaller than the sum of its proper divisors (1022453640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

375972480 is a wasteful number, since it uses less digits than its factorization.

375972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 375972480 is about 19390.0097988629. The cubic root of 375972480 is about 721.7476065744.

The spelling of 375972480 in words is "three hundred seventy-five million, nine hundred seventy-two thousand, four hundred eighty".