412940880 has 240 divisors, whose sum is σ = 1602379584. Its totient is φ = 94187520.

The previous prime is 412940867. The next prime is 412940893. The reversal of 412940880 is 88049214.

It is an interprime number because it is at equal distance from previous prime (412940867) and next prime (412940893).

It is a tau number, because it is divible by the number of its divisors (240).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133107 + ... + 136173.

Almost surely, 2^412940880 is an apocalyptic number.

412940880 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 412940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801189792).

412940880 is an abundant number, since it is smaller than the sum of its proper divisors (1189438704).

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

412940880 is a wasteful number, since it uses less digits than its factorization.

412940880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 412940880 is about 20320.9468283345. The cubic root of 412940880 is about 744.6678879448.

The spelling of 412940880 in words is "four hundred twelve million, nine hundred forty thousand, eight hundred eighty".