412153100 has 144 divisors (see below), whose sum is σ = 1007935488. Its totient is φ = 145474560.

The previous prime is 412153099. The next prime is 412153127. The reversal of 412153100 is 1351214.

It is a super-2 number, since 2×412153100² = 339740355679220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 3245237 + ... + 3245363.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2^412153100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

412153100 is an abundant number, since it is smaller than the sum of its proper divisors (595782388).

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

412153100 is a wasteful number, since it uses less digits than its factorization.

412153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 412153100 is about 20301.5541277017. The cubic root of 412153100 is about 744.1940445611.

The spelling of 412153100 in words is "four hundred twelve million, one hundred fifty-three thousand, one hundred".