415253900 has 72 divisors (see below), whose sum is σ = 987124320. Its totient is φ = 150922240.

The previous prime is 415253899. The next prime is 415253933. The reversal of 415253900 is 9352514.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45089 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^415253900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415253900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

415253900 is an abundant number, since it is smaller than the sum of its proper divisors (571870420).

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

415253900 is a wasteful number, since it uses less digits than its factorization.

415253900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 415253900 is about 20377.7795650066. The cubic root of 415253900 is about 746.0556779811.

The spelling of 415253900 in words is "four hundred fifteen million, two hundred fifty-three thousand, nine hundred".