415377152 has 72 divisors (see below), whose sum is σ = 851440464. Its totient is φ = 202194944.

The previous prime is 415377077. The next prime is 415377163. The reversal of 415377152 is 251773514.

It is a super-2 number, since 2×415377152² = 345076356807262208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2400938 + ... + 2401110.

It is an arithmetic number, because the mean of its divisors is an integer number (11825562).

Almost surely, 2^415377152 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 415377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425720232).

415377152 is an abundant number, since it is smaller than the sum of its proper divisors (436063312).

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

415377152 is a wasteful number, since it uses less digits than its factorization.

415377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 415377152 is about 20380.8035170353. The cubic root of 415377152 is about 746.1294832348.

The spelling of 415377152 in words is "four hundred fifteen million, three hundred seventy-seven thousand, one hundred fifty-two".