412356500 has 48 divisors (see below), whose sum is σ = 904372560. Its totient is φ = 164249600.

The previous prime is 412356479. The next prime is 412356509. The reversal of 412356500 is 5653214.

It can be written as a sum of positive squares in 8 ways, for example, as 23951236 + 388405264 = 4894^2 + 19708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412356500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412356509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126896 + ... + 130104.

It is an arithmetic number, because the mean of its divisors is an integer number (18841095).

Almost surely, 2^412356500 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 412356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452186280).

412356500 is an abundant number, since it is smaller than the sum of its proper divisors (492016060).

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

412356500 is a wasteful number, since it uses less digits than its factorization.

412356500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 412356500 is about 20306.5629785052. The cubic root of 412356500 is about 744.3164458201.

The spelling of 412356500 in words is "four hundred twelve million, three hundred fifty-six thousand, five hundred".