415760364 has 84 divisors (see below), whose sum is σ = 1155178584. Its totient is φ = 130419072.

The previous prime is 415760357. The next prime is 415760383. The reversal of 415760364 is 463067514.

It is a happy number.

415760364 is a `hidden beast` number, since 41 + 5 + 7 + 603 + 6 + 4 = 666.

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 27 ways as a sum of consecutive naturals, for example, 45379 + ... + 53765.

It is an arithmetic number, because the mean of its divisors is an integer number (13752126).

Almost surely, 2^415760364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415760364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577589292).

415760364 is an abundant number, since it is smaller than the sum of its proper divisors (739418220).

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

415760364 is a wasteful number, since it uses less digits than its factorization.

415760364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 415760364 is about 20390.2026473500. The cubic root of 415760364 is about 746.3588634394.

The spelling of 415760364 in words is "four hundred fifteen million, seven hundred sixty thousand, three hundred sixty-four".