415357920 has 144 divisors (see below), whose sum is σ = 1479153312. Its totient is φ = 105937920.

The previous prime is 415357919. The next prime is 415357961. The reversal of 415357920 is 29753514.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26850 + ... + 39390.

It is an arithmetic number, because the mean of its divisors is an integer number (10271898).

Almost surely, 2^415357920 is an apocalyptic number.

415357920 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 415357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739576656).

415357920 is an abundant number, since it is smaller than the sum of its proper divisors (1063795392).

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

415357920 is a wasteful number, since it uses less digits than its factorization.

415357920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 415357920 is about 20380.3316950436. The cubic root of 415357920 is about 746.1179677694.

It can be divided in two parts, 41535 and 7920, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 415357920 in words is "four hundred fifteen million, three hundred fifty-seven thousand, nine hundred twenty".