415961280 has 336 divisors, whose sum is σ = 1673717760. Its totient is φ = 92841984.

The previous prime is 415961261. The next prime is 415961291. The reversal of 415961280 is 82169514.

415961280 is a `hidden beast` number, since 41 + 596 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947301 + ... + 947739.

Almost surely, 2^415961280 is an apocalyptic number.

415961280 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 415961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836858880).

415961280 is an abundant number, since it is smaller than the sum of its proper divisors (1257756480).

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

415961280 is a wasteful number, since it uses less digits than its factorization.

415961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 415961280 is about 20395.1288301888. The cubic root of 415961280 is about 746.4790699346.

The spelling of 415961280 in words is "four hundred fifteen million, nine hundred sixty-one thousand, two hundred eighty".