414919680 has 352 divisors, whose sum is σ = 1612970496. Its totient is φ = 88866816.

The previous prime is 414919667. The next prime is 414919721. The reversal of 414919680 is 86919414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827727 + ... + 1827953.

Almost surely, 2^414919680 is an apocalyptic number.

414919680 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 414919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806485248).

414919680 is an abundant number, since it is smaller than the sum of its proper divisors (1198050816).

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

414919680 is a wasteful number, since it uses less digits than its factorization.

414919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 414919680 is about 20369.5773152022. The cubic root of 414919680 is about 745.8554682180.

The spelling of 414919680 in words is "four hundred fourteen million, nine hundred nineteen thousand, six hundred eighty".