415263520 has 96 divisors (see below), whose sum is σ = 1132621056. Its totient is φ = 140928000.

The previous prime is 415263479. The next prime is 415263529. The reversal of 415263520 is 25362514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (415263529) 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, 111285 + ... + 114955.

It is an arithmetic number, because the mean of its divisors is an integer number (11798136).

Almost surely, 2^415263520 is an apocalyptic number.

415263520 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 415263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566310528).

415263520 is an abundant number, since it is smaller than the sum of its proper divisors (717357536).

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

415263520 is a wasteful number, since it uses less digits than its factorization.

415263520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 415263520 is about 20378.0156050583. The cubic root of 415263520 is about 746.0614391152.

The spelling of 415263520 in words is "four hundred fifteen million, two hundred sixty-three thousand, five hundred twenty".