390677472 has 96 divisors (see below), whose sum is σ = 1145410560. Its totient is φ = 129548160.

The previous prime is 390677461. The next prime is 390677503. The reversal of 390677472 is 274776093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×390677472³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181233 + ... + 183375.

It is an arithmetic number, because the mean of its divisors is an integer number (11931360).

Almost surely, 2^390677472 is an apocalyptic number.

390677472 is a gapful number since it is divisible by the number (32) 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 390677472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572705280).

390677472 is an abundant number, since it is smaller than the sum of its proper divisors (754733088).

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

390677472 is a wasteful number, since it uses less digits than its factorization.

390677472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 390677472 is about 19765.5627797440. The cubic root of 390677472 is about 731.0371646203.

The spelling of 390677472 in words is "three hundred ninety million, six hundred seventy-seven thousand, four hundred seventy-two".