412498944 has 264 divisors, whose sum is σ = 1403783472. Its totient is φ = 115015680.

The previous prime is 412498939. The next prime is 412498969. The reversal of 412498944 is 449894214.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×412498944² = 340310757602230272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 412498944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317732 + ... + 1318044.

Almost surely, 2^412498944 is an apocalyptic number.

412498944 is a gapful number since it is divisible by the number (44) 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 412498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701891736).

412498944 is an abundant number, since it is smaller than the sum of its proper divisors (991284528).

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

412498944 is a wasteful number, since it uses less digits than its factorization.

412498944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 412498944 is about 20310.0700146504. The cubic root of 412498944 is about 744.4021412527.

The spelling of 412498944 in words is "four hundred twelve million, four hundred ninety-eight thousand, nine hundred forty-four".