375420960 has 288 divisors, whose sum is σ = 1373863680. Its totient is φ = 95703552.

The previous prime is 375420937. The next prime is 375420967. The reversal of 375420960 is 69024573.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (375420967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7987657 + ... + 7987703.

It is an arithmetic number, because the mean of its divisors is an integer number (4770360).

Almost surely, 2^375420960 is an apocalyptic number.

375420960 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 375420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686931840).

375420960 is an abundant number, since it is smaller than the sum of its proper divisors (998442720).

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

375420960 is a wasteful number, since it uses less digits than its factorization.

375420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 375420960 is about 19375.7828228952. The cubic root of 375420960 is about 721.3945195275.

The spelling of 375420960 in words is "three hundred seventy-five million, four hundred twenty thousand, nine hundred sixty".