412891920 has 480 divisors, whose sum is σ = 1727032320. Its totient is φ = 86261760.

The previous prime is 412891867. The next prime is 412891931. The reversal of 412891920 is 29198214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226441 + ... + 5226519.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^412891920 is an apocalyptic number.

412891920 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 412891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

412891920 is an abundant number, since it is smaller than the sum of its proper divisors (1314140400).

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

412891920 is a wasteful number, since it uses less digits than its factorization.

412891920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 412891920 is about 20319.7421243479. The cubic root of 412891920 is about 744.6384564672.

The spelling of 412891920 in words is "four hundred twelve million, eight hundred ninety-one thousand, nine hundred twenty".