415464420 has 96 divisors (see below), whose sum is σ = 1338494976. Its totient is φ = 94320000.

The previous prime is 415464407. The next prime is 415464451. The reversal of 415464420 is 24464514.

It is a happy number.

It is a super-2 number, since 2×415464420² = 345221368571872800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60145 + ... + 66695.

It is an arithmetic number, because the mean of its divisors is an integer number (13942656).

Almost surely, 2^415464420 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 415464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

415464420 is an abundant number, since it is smaller than the sum of its proper divisors (923030556).

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

415464420 is a wasteful number, since it uses less digits than its factorization.

415464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 415464420 is about 20382.9443407963. The cubic root of 415464420 is about 746.1817318704.

The spelling of 415464420 in words is "four hundred fifteen million, four hundred sixty-four thousand, four hundred twenty".