376445520 has 360 divisors, whose sum is σ = 1447173000. Its totient is φ = 87521280.

The previous prime is 376445519. The next prime is 376445539. The reversal of 376445520 is 25544673.

376445520 is a `hidden beast` number, since 3 + 7 + 644 + 5 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 371409984 = 2244^2 + 19272^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×376445520² = 283422459056140800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2526406 + ... + 2526554.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^376445520 is an apocalyptic number.

376445520 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 376445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723586500).

376445520 is an abundant number, since it is smaller than the sum of its proper divisors (1070727480).

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

376445520 is a wasteful number, since it uses less digits than its factorization.

376445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 376445520 is about 19402.2039985152. The cubic root of 376445520 is about 722.0501751744.

It can be divided in two parts, 3764 and 45520, that added together give a square (49284 = 222²).

The spelling of 376445520 in words is "three hundred seventy-six million, four hundred forty-five thousand, five hundred twenty".