414015052 has 72 divisors (see below), whose sum is σ = 833505680. Its totient is φ = 179625600.

The previous prime is 414015029. The next prime is 414015061. The reversal of 414015052 is 250510414.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1092199 + ... + 1092577.

Almost surely, 2^414015052 is an apocalyptic number.

It is an amenable number.

414015052 is an abundant number, since it is smaller than the sum of its proper divisors (419490628).

414015052 is a wasteful number, since it uses less digits than its factorization.

414015052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 414015052 is about 20347.3598287345. The cubic root of 414015052 is about 745.3130237229.

Adding to 414015052 its reverse (250510414), we get a palindrome (664525466).

The spelling of 414015052 in words is "four hundred fourteen million, fifteen thousand, fifty-two".