412075720 has 64 divisors (see below), whose sum is σ = 1063756800. Its totient is φ = 140732160.

The previous prime is 412075717. The next prime is 412075753. The reversal of 412075720 is 27570214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72585 + ... + 78055.

It is an arithmetic number, because the mean of its divisors is an integer number (16621200).

Almost surely, 2^412075720 is an apocalyptic number.

412075720 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 412075720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531878400).

412075720 is an abundant number, since it is smaller than the sum of its proper divisors (651681080).

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

412075720 is a wasteful number, since it uses less digits than its factorization.

412075720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 412075720 is about 20299.6482728150. The cubic root of 412075720 is about 744.1474685522.

The spelling of 412075720 in words is "four hundred twelve million, seventy-five thousand, seven hundred twenty".