354487046400 has 648 divisors, whose sum is σ = 1373293041120. Its totient is φ = 86889922560.

The previous prime is 354487046363. The next prime is 354487046423. The reversal of 354487046400 is 4640784453.

It is a super-2 number, since 2×354487046400² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42101391 + ... + 42109809.

Almost surely, 2^354487046400 is an apocalyptic number.

354487046400 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 354487046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686646520560).

354487046400 is an abundant number, since it is smaller than the sum of its proper divisors (1018805994720).

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

354487046400 is a wasteful number, since it uses less digits than its factorization.

354487046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 354487046400 in words is "three hundred fifty-four billion, four hundred eighty-seven million, forty-six thousand, four hundred".