415470720 has 256 divisors, whose sum is σ = 1594137600. Its totient is φ = 89911296.

The previous prime is 415470719. The next prime is 415470761. The reversal of 415470720 is 27074514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254547 + ... + 256173.

It is an arithmetic number, because the mean of its divisors is an integer number (6227100).

Almost surely, 2^415470720 is an apocalyptic number.

415470720 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 415470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797068800).

415470720 is an abundant number, since it is smaller than the sum of its proper divisors (1178666880).

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

415470720 is a wasteful number, since it uses less digits than its factorization.

415470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 415470720 is about 20383.0988811809. The cubic root of 415470720 is about 746.1855034899.

The spelling of 415470720 in words is "four hundred fifteen million, four hundred seventy thousand, seven hundred twenty".