354870412800 has 240 divisors, whose sum is σ = 1173292203600. Its totient is φ = 94551408640.

The previous prime is 354870412759. The next prime is 354870412807. The reversal of 354870412800 is 8214078453.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354870412807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55023976 + ... + 55030424.

It is an arithmetic number, because the mean of its divisors is an integer number (4888717515).

Almost surely, 2^354870412800 is an apocalyptic number.

354870412800 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 354870412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586646101800).

354870412800 is an abundant number, since it is smaller than the sum of its proper divisors (818421790800).

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

354870412800 is a wasteful number, since it uses less digits than its factorization.

354870412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 354870412800 in words is "three hundred fifty-four billion, eight hundred seventy million, four hundred twelve thousand, eight hundred".