414726480 has 400 divisors, whose sum is σ = 1693891584. Its totient is φ = 92067840.

The previous prime is 414726467. The next prime is 414726497. The reversal of 414726480 is 84627414.

414726480 is a `hidden beast` number, since 4 + 1 + 4 + 7 + 2 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859649 + ... + 1859871.

Almost surely, 2^414726480 is an apocalyptic number.

414726480 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 414726480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846945792).

414726480 is an abundant number, since it is smaller than the sum of its proper divisors (1279165104).

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

414726480 is a wasteful number, since it uses less digits than its factorization.

414726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 414726480 is about 20364.8343965769. The cubic root of 414726480 is about 745.7396854493.

The spelling of 414726480 in words is "four hundred fourteen million, seven hundred twenty-six thousand, four hundred eighty".