412247880 has 320 divisors, whose sum is σ = 1552478400. Its totient is φ = 97251840.

The previous prime is 412247813. The next prime is 412247881. The reversal of 412247880 is 88742214.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412247881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1532386 + ... + 1532654.

It is an arithmetic number, because the mean of its divisors is an integer number (4851495).

Almost surely, 2^412247880 is an apocalyptic number.

412247880 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 412247880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776239200).

412247880 is an abundant number, since it is smaller than the sum of its proper divisors (1140230520).

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

412247880 is a wasteful number, since it uses less digits than its factorization.

412247880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 412247880 is about 20303.8882975651. Note that the first 3 decimals coincide. The cubic root of 412247880 is about 744.2510859093.

The spelling of 412247880 in words is "four hundred twelve million, two hundred forty-seven thousand, eight hundred eighty".