415162880 has 160 divisors (see below), whose sum is σ = 1134891648. Its totient is φ = 144179200.

The previous prime is 415162861. The next prime is 415162883. The reversal of 415162880 is 88261514.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 415162880.

It is not an unprimeable number, because it can be changed into a prime (415162883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647360 + ... + 648000.

Almost surely, 2^415162880 is an apocalyptic number.

415162880 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 415162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567445824).

415162880 is an abundant number, since it is smaller than the sum of its proper divisors (719728768).

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

415162880 is a wasteful number, since it uses less digits than its factorization.

415162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 415162880 is about 20375.5461276502. The cubic root of 415162880 is about 746.0011643852.

The spelling of 415162880 in words is "four hundred fifteen million, one hundred sixty-two thousand, eight hundred eighty".