354252864 has 224 divisors, whose sum is σ = 1133856000. Its totient is φ = 95477760.

The previous prime is 354252859. The next prime is 354252869. The reversal of 354252864 is 468252453.

It is an interprime number because it is at equal distance from previous prime (354252859) and next prime (354252869).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×354252864³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354252869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377462 + ... + 2377610.

Almost surely, 2^354252864 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 354252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566928000).

354252864 is an abundant number, since it is smaller than the sum of its proper divisors (779603136).

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

354252864 is a wasteful number, since it uses less digits than its factorization.

354252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 354252864 is about 18821.6063076455. The cubic root of 354252864 is about 707.5727896075.

The spelling of 354252864 in words is "three hundred fifty-four million, two hundred fifty-two thousand, eight hundred sixty-four".