355164264 has 320 divisors, whose sum is σ = 1292860800. Its totient is φ = 88459776.

The previous prime is 355164233. The next prime is 355164269. The reversal of 355164264 is 462461553.

355164264 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 642 + 6 + 4 = 666.

It is a super-2 number, since 2×355164264² = 252283308845323392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (355164269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120234 + ... + 1120550.

It is an arithmetic number, because the mean of its divisors is an integer number (4040190).

Almost surely, 2^355164264 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 355164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646430400).

355164264 is an abundant number, since it is smaller than the sum of its proper divisors (937696536).

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

355164264 is a wasteful number, since it uses less digits than its factorization.

355164264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 355164264 is about 18845.8022912266. The cubic root of 355164264 is about 708.1790699020.

The spelling of 355164264 in words is "three hundred fifty-five million, one hundred sixty-four thousand, two hundred sixty-four".