413012400 has 60 divisors (see below), whose sum is σ = 1323020232. Its totient is φ = 110136320.

The previous prime is 413012371. The next prime is 413012407. The reversal of 413012400 is 4210314.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413012400.

It is not an unprimeable number, because it can be changed into a prime (413012407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170889 + ... + 173288.

Almost surely, 2^413012400 is an apocalyptic number.

413012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413012400 is an abundant number, since it is smaller than the sum of its proper divisors (910007832).

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

413012400 is a wasteful number, since it uses less digits than its factorization.

413012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344198 (or 344187 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 413012400 is about 20322.7065126671. The cubic root of 413012400 is about 744.7108768047.

Adding to 413012400 its reverse (4210314), we get a palindrome (417222714).

The spelling of 413012400 in words is "four hundred thirteen million, twelve thousand, four hundred".