413980400 has 30 divisors (see below), whose sum is σ = 994588872. Its totient is φ = 165592000.

The previous prime is 413980387. The next prime is 413980409. The reversal of 413980400 is 4089314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413980409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 517076 + ... + 517875.

Almost surely, 2^413980400 is an apocalyptic number.

413980400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413980400 is an abundant number, since it is smaller than the sum of its proper divisors (580608472).

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

413980400 is a wasteful number, since it uses less digits than its factorization.

413980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034969 (or 1034958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 413980400 is about 20346.5082999516. The cubic root of 413980400 is about 745.2922295454.

The spelling of 413980400 in words is "four hundred thirteen million, nine hundred eighty thousand, four hundred".