414616020 has 96 divisors (see below), whose sum is σ = 1428849408. Its totient is φ = 87478272.

The previous prime is 414615991. The next prime is 414616021. The reversal of 414616020 is 20616414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414616021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32509 + ... + 43428.

It is an arithmetic number, because the mean of its divisors is an integer number (14883848).

Almost surely, 2^414616020 is an apocalyptic number.

It is an amenable number.

414616020 is an abundant number, since it is smaller than the sum of its proper divisors (1014233388).

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

414616020 is a wasteful number, since it uses less digits than its factorization.

414616020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75969 (or 75967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 414616020 is about 20362.1221880235. The cubic root of 414616020 is about 745.6734717527.

The spelling of 414616020 in words is "four hundred fourteen million, six hundred sixteen thousand, twenty".