356638464 has 432 divisors, whose sum is σ = 1337511840. Its totient is φ = 94058496.

The previous prime is 356638463. The next prime is 356638511. The reversal of 356638464 is 464836653.

356638464 is a `hidden beast` number, since 3 + 5 + 6 + 638 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (1244160) is a multiple of the sum of its prime factors (64).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356638463) 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, 27433722 + ... + 27433734.

Almost surely, 2^356638464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668755920).

356638464 is an abundant number, since it is smaller than the sum of its proper divisors (980873376).

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

356638464 is an frugal number, since it uses more digits than its factorization.

356638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 356638464 is about 18884.8739471568. The cubic root of 356638464 is about 709.1575433884.

The spelling of 356638464 in words is "three hundred fifty-six million, six hundred thirty-eight thousand, four hundred sixty-four".