415420512 has 96 divisors (see below), whose sum is σ = 1178860032. Its totient is φ = 127332864.

The previous prime is 415420477. The next prime is 415420513. The reversal of 415420512 is 215024514.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415420513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457563 + ... + 458469.

It is an arithmetic number, because the mean of its divisors is an integer number (12279792).

Almost surely, 2^415420512 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 415420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589430016).

415420512 is an abundant number, since it is smaller than the sum of its proper divisors (763439520).

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

415420512 is a wasteful number, since it uses less digits than its factorization.

415420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 415420512 is about 20381.8672353639. The cubic root of 415420512 is about 746.1554444194.

The spelling of 415420512 in words is "four hundred fifteen million, four hundred twenty thousand, five hundred twelve".