374661504 has 256 divisors, whose sum is σ = 1339545600. Its totient is φ = 100638720.

The previous prime is 374661481. The next prime is 374661523. The reversal of 374661504 is 405166473.

It is a happy number.

374661504 is a `hidden beast` number, since 37 + 4 + 6 + 615 + 0 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 410809 + ... + 411719.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^374661504 is an apocalyptic number.

374661504 is a gapful number since it is divisible by the number (34) 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 374661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

374661504 is an abundant number, since it is smaller than the sum of its proper divisors (964884096).

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

374661504 is a wasteful number, since it uses less digits than its factorization.

374661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 374661504 is about 19356.1748287207. The cubic root of 374661504 is about 720.9077439647.

The spelling of 374661504 in words is "three hundred seventy-four million, six hundred sixty-one thousand, five hundred four".