412601400 has 72 divisors (see below), whose sum is σ = 1385659080. Its totient is φ = 110026560.

The previous prime is 412601381. The next prime is 412601401. The reversal of 412601400 is 4106214.

412601400 is a `hidden beast` number, since 4 + 1 + 260 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412601401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112812 + ... + 116411.

It is an arithmetic number, because the mean of its divisors is an integer number (19245265).

Almost surely, 2^412601400 is an apocalyptic number.

412601400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412601400 is an abundant number, since it is smaller than the sum of its proper divisors (973057680).

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

412601400 is a wasteful number, since it uses less digits than its factorization.

412601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229245 (or 229233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412601400 is about 20312.5921536371. The cubic root of 412601400 is about 744.4637673920.

Adding to 412601400 its reverse (4106214), we get a palindrome (416707614).

The spelling of 412601400 in words is "four hundred twelve million, six hundred one thousand, four hundred".