415826240 has 28 divisors (see below), whose sum is σ = 990186996. Its totient is φ = 166330368.

The previous prime is 415826237. The next prime is 415826261. The reversal of 415826240 is 42628514.

It can be written as a sum of positive squares in 2 ways, for example, as 99840064 + 315986176 = 9992^2 + 17776^2 .

It is a super-2 number, since 2×415826240² = 345822923745075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 415826197 and 415826206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 649409 + ... + 650048.

Almost surely, 2^415826240 is an apocalyptic number.

415826240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415826240 is an abundant number, since it is smaller than the sum of its proper divisors (574360756).

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

415826240 is a wasteful number, since it uses less digits than its factorization.

415826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299474 (or 1299464 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 415826240 is about 20391.8179670180. The cubic root of 415826240 is about 746.3982808091.

The spelling of 415826240 in words is "four hundred fifteen million, eight hundred twenty-six thousand, two hundred forty".