412747920 has 160 divisors (see below), whose sum is σ = 1531152000. Its totient is φ = 101592576.

The previous prime is 412747877. The next prime is 412747931. The reversal of 412747920 is 29747214.

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 31 ways as a sum of consecutive naturals, for example, 20731 + ... + 35429.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2^412747920 is an apocalyptic number.

412747920 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 412747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576000).

412747920 is an abundant number, since it is smaller than the sum of its proper divisors (1118404080).

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

412747920 is a wasteful number, since it uses less digits than its factorization.

412747920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14734 (or 14722 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 412747920 is about 20316.1984632952. The cubic root of 412747920 is about 744.5518798107.

It can be divided in two parts, 41274 and 7920, that added together give a palindrome (49194).

The spelling of 412747920 in words is "four hundred twelve million, seven hundred forty-seven thousand, nine hundred twenty".