412367904 has 144 divisors (see below), whose sum is σ = 1279055232. Its totient is φ = 125259264.

The previous prime is 412367903. The next prime is 412367909. The reversal of 412367904 is 409763214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412367903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310089 + ... + 311415.

It is an arithmetic number, because the mean of its divisors is an integer number (8882328).

Almost surely, 2^412367904 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 412367904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639527616).

412367904 is an abundant number, since it is smaller than the sum of its proper divisors (866687328).

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

412367904 is a wasteful number, since it uses less digits than its factorization.

412367904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 412367904 is about 20306.8437724822. The cubic root of 412367904 is about 744.3233072830.

It can be divided in two parts, 4123 and 67904, that added together give a palindrome (72027).

The spelling of 412367904 in words is "four hundred twelve million, three hundred sixty-seven thousand, nine hundred four".