415973376 has 360 divisors, whose sum is σ = 1526680064. Its totient is φ = 106168320.

The previous prime is 415973333. The next prime is 415973381. The reversal of 415973376 is 673379514.

Its product of digits (476280) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13418481 + ... + 13418511.

Almost surely, 2^415973376 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 415973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763340032).

415973376 is an abundant number, since it is smaller than the sum of its proper divisors (1110706688).

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

415973376 is a wasteful number, since it uses less digits than its factorization.

415973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 415973376 is about 20395.4253694303. The cubic root of 415973376 is about 746.4863056428.

The spelling of 415973376 in words is "four hundred fifteen million, nine hundred seventy-three thousand, three hundred seventy-six".