412177920 has 640 divisors, whose sum is σ = 1781885952. Its totient is φ = 78643200.

The previous prime is 412177861. The next prime is 412177949. The reversal of 412177920 is 29771214.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10053100 + ... + 10053140.

Almost surely, 2^412177920 is an apocalyptic number.

412177920 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 412177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

412177920 is an abundant number, since it is smaller than the sum of its proper divisors (1369708032).

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

412177920 is a wasteful number, since it uses less digits than its factorization.

412177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 412177920 is about 20302.1654017496. The cubic root of 412177920 is about 744.2089828008.

The spelling of 412177920 in words is "four hundred twelve million, one hundred seventy-seven thousand, nine hundred twenty".