412698240 has 320 divisors, whose sum is σ = 1555092000. Its totient is φ = 104011776.

The previous prime is 412698199. The next prime is 412698277. The reversal of 412698240 is 42896214.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 412698195 and 412698204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984751 + ... + 985169.

Almost surely, 2^412698240 is an apocalyptic number.

412698240 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 412698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777546000).

412698240 is an abundant number, since it is smaller than the sum of its proper divisors (1142393760).

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

412698240 is a wasteful number, since it uses less digits than its factorization.

412698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 412698240 is about 20314.9757568155. The cubic root of 412698240 is about 744.5220061923.

The spelling of 412698240 in words is "four hundred twelve million, six hundred ninety-eight thousand, two hundred forty".