412638240 has 192 divisors, whose sum is σ = 1498742784. Its totient is φ = 93477888.

The previous prime is 412638203. The next prime is 412638269. The reversal of 412638240 is 42836214.

It is a super-2 number, since 2×412638240² = 340540634220595200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 412638198 and 412638207.

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, 426237 + ... + 427203.

It is an arithmetic number, because the mean of its divisors is an integer number (7805952).

Almost surely, 2^412638240 is an apocalyptic number.

412638240 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 412638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749371392).

412638240 is an abundant number, since it is smaller than the sum of its proper divisors (1086104544).

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

412638240 is a wasteful number, since it uses less digits than its factorization.

412638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 412638240 is about 20313.4989600512. The cubic root of 412638240 is about 744.4859237467.

The spelling of 412638240 in words is "four hundred twelve million, six hundred thirty-eight thousand, two hundred forty".