412252400 has 120 divisors (see below), whose sum is σ = 1171189920. Its totient is φ = 136442880.

The previous prime is 412252339. The next prime is 412252427. The reversal of 412252400 is 4252214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78662 + ... + 83738.

It is an arithmetic number, because the mean of its divisors is an integer number (9759916).

Almost surely, 2^412252400 is an apocalyptic number.

412252400 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 412252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585594960).

412252400 is an abundant number, since it is smaller than the sum of its proper divisors (758937520).

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

412252400 is a wasteful number, since it uses less digits than its factorization.

412252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 412252400 is about 20303.9996059890. Note that the first 3 decimals coincide. The cubic root of 412252400 is about 744.2538059577.

The spelling of 412252400 in words is "four hundred twelve million, two hundred fifty-two thousand, four hundred".