415353120 has 384 divisors, whose sum is σ = 1660248576. Its totient is φ = 84934656.

The previous prime is 415353089. The next prime is 415353131. The reversal of 415353120 is 21353514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616032 + ... + 1616288.

It is an arithmetic number, because the mean of its divisors is an integer number (4323564).

Almost surely, 2^415353120 is an apocalyptic number.

415353120 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 415353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830124288).

415353120 is an abundant number, since it is smaller than the sum of its proper divisors (1244895456).

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

415353120 is a wasteful number, since it uses less digits than its factorization.

415353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 415353120 is about 20380.2139341078. The cubic root of 415353120 is about 746.1150936377.

The spelling of 415353120 in words is "four hundred fifteen million, three hundred fifty-three thousand, one hundred twenty".