415380420 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 85722624.

The previous prime is 415380401. The next prime is 415380457. The reversal of 415380420 is 24083514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3882007 + ... + 3882113.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^415380420 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 415380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

415380420 is an abundant number, since it is smaller than the sum of its proper divisors (1210321980).

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

415380420 is a wasteful number, since it uses less digits than its factorization.

415380420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415380420 is about 20380.8836903604. The cubic root of 415380420 is about 746.1314399664.

The spelling of 415380420 in words is "four hundred fifteen million, three hundred eighty thousand, four hundred twenty".