414988920 has 160 divisors (see below), whose sum is σ = 1402632000. Its totient is φ = 110045952.

The previous prime is 414988919. The next prime is 414988939. The reversal of 414988920 is 29889414.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1130577 + ... + 1130943.

It is an arithmetic number, because the mean of its divisors is an integer number (8766450).

Almost surely, 2^414988920 is an apocalyptic number.

414988920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414988920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701316000).

414988920 is an abundant number, since it is smaller than the sum of its proper divisors (987643080).

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

414988920 is a wasteful number, since it uses less digits than its factorization.

414988920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 414988920 is about 20371.2768377439. The cubic root of 414988920 is about 745.8969542877.

The spelling of 414988920 in words is "four hundred fourteen million, nine hundred eighty-eight thousand, nine hundred twenty".