376416900 has 162 divisors, whose sum is σ = 1220720046. Its totient is φ = 96960000.

The previous prime is 376416871. The next prime is 376416917. The reversal of 376416900 is 9614673.

376416900 is a `hidden beast` number, since 3 + 7 + 641 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 19660356 + 356756544 = 4434^2 + 18888^2 .

It is a super-2 number, since 2×376416900² = 283379365211220000, 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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3726850 + ... + 3726950.

Almost surely, 2^376416900 is an apocalyptic number.

376416900 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 376416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610360023).

376416900 is an abundant number, since it is smaller than the sum of its proper divisors (844303146).

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

376416900 is a wasteful number, since it uses less digits than its factorization.

376416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 376416900 is about 19401.4664394215. The cubic root of 376416900 is about 722.0318762895.

The spelling of 376416900 in words is "three hundred seventy-six million, four hundred sixteen thousand, nine hundred".