354489080400 has 1920 divisors, whose sum is σ = 1619715220480. Its totient is φ = 72559411200.

The previous prime is 354489080383. The next prime is 354489080471. The reversal of 354489080400 is 4080984453.

It is a happy number.

354489080400 is a `hidden beast` number, since 3 + 5 + 448 + 90 + 80 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4856014764 + ... + 4856014836.

Almost surely, 2^354489080400 is an apocalyptic number.

354489080400 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 354489080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809857610240).

354489080400 is an abundant number, since it is smaller than the sum of its proper divisors (1265226140080).

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

354489080400 is a wasteful number, since it uses less digits than its factorization.

354489080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

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

The spelling of 354489080400 in words is "three hundred fifty-four billion, four hundred eighty-nine million, eighty thousand, four hundred".