354456072 has 24 divisors (see below), whose sum is σ = 959985390. Its totient is φ = 118152000.

The previous prime is 354456071. The next prime is 354456073. The reversal of 354456072 is 270654453.

354456072 is a `hidden beast` number, since 3 + 5 + 4 + 45 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (354456071) and next prime (354456073).

It can be written as a sum of positive squares in only one way, i.e., 228432996 + 126023076 = 15114^2 + 11226^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (354456071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2461429 + ... + 2461572.

Almost surely, 2^354456072 is an apocalyptic number.

It is an amenable number.

354456072 is an abundant number, since it is smaller than the sum of its proper divisors (605529318).

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

354456072 is a wasteful number, since it uses less digits than its factorization.

354456072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923013 (or 4923006 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 354456072 is about 18827.0037977369. The cubic root of 354456072 is about 707.7080573612.

The spelling of 354456072 in words is "three hundred fifty-four million, four hundred fifty-six thousand, seventy-two".