413153800 has 24 divisors (see below), whose sum is σ = 960583050. Its totient is φ = 165261440.

The previous prime is 413153789. The next prime is 413153837. The reversal of 413153800 is 8351314.

It can be written as a sum of positive squares in 3 ways, for example, as 288116676 + 125037124 = 16974^2 + 11182^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1032685 + ... + 1033084.

Almost surely, 2^413153800 is an apocalyptic number.

413153800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413153800 is an abundant number, since it is smaller than the sum of its proper divisors (547429250).

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

413153800 is a wasteful number, since it uses less digits than its factorization.

413153800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065785 (or 2065776 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 413153800 is about 20326.1850823021. The cubic root of 413153800 is about 744.7958541589.

The spelling of 413153800 in words is "four hundred thirteen million, one hundred fifty-three thousand, eight hundred".