414520520 has 32 divisors (see below), whose sum is σ = 987535800. Its totient is φ = 156054528.

The previous prime is 414520501. The next prime is 414520523. The reversal of 414520520 is 25025414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 397364356 + 17156164 = 19934^2 + 4142^2 .

It is not an unprimeable number, because it can be changed into a prime (414520523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304115 + ... + 305474.

Almost surely, 2^414520520 is an apocalyptic number.

414520520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414520520 is an abundant number, since it is smaller than the sum of its proper divisors (573015280).

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

414520520 is a wasteful number, since it uses less digits than its factorization.

414520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609617 (or 609613 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 414520520 is about 20359.7770125314. Note that the first 3 decimals coincide. The cubic root of 414520520 is about 745.6162161384.

Adding to 414520520 its reverse (25025414), we get a palindrome (439545934).

The spelling of 414520520 in words is "four hundred fourteen million, five hundred twenty thousand, five hundred twenty".