354863880 has 144 divisors (see below), whose sum is σ = 1341669420. Its totient is φ = 81107712.

The previous prime is 354863843. The next prime is 354863881. The reversal of 354863880 is 88368453.

354863880 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 638 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 336869316 + 17994564 = 18354^2 + 4242^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (354863881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7582 + ... + 27698.

Almost surely, 2^354863880 is an apocalyptic number.

354863880 is a gapful number since it is divisible by the number (30) 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 354863880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670834710).

354863880 is an abundant number, since it is smaller than the sum of its proper divisors (986805540).

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

354863880 is a wasteful number, since it uses less digits than its factorization.

354863880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20148 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 354863880 is about 18837.8310853453. The cubic root of 354863880 is about 707.9793635659.

The spelling of 354863880 in words is "three hundred fifty-four million, eight hundred sixty-three thousand, eight hundred eighty".