413554400 has 72 divisors (see below), whose sum is σ = 1153832400. Its totient is φ = 141788160.

The previous prime is 413554397. The next prime is 413554433. The reversal of 413554400 is 4455314.

It is a self number, because there is not a number n which added to its sum of digits gives 413554400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31325 + ... + 42524.

It is an arithmetic number, because the mean of its divisors is an integer number (16025450).

Almost surely, 2^413554400 is an apocalyptic number.

413554400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413554400 is an abundant number, since it is smaller than the sum of its proper divisors (740278000).

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

413554400 is a wasteful number, since it uses less digits than its factorization.

413554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73876 (or 73863 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 413554400 is about 20336.0369787233. The cubic root of 413554400 is about 745.0364980693.

The spelling of 413554400 in words is "four hundred thirteen million, five hundred fifty-four thousand, four hundred".