412599440 has 80 divisors (see below), whose sum is σ = 1101625920. Its totient is φ = 142133760.

The previous prime is 412599433. The next prime is 412599479. The reversal of 412599440 is 44995214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 412599394 and 412599403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4382 + ... + 29058.

It is an arithmetic number, because the mean of its divisors is an integer number (13770324).

Almost surely, 2^412599440 is an apocalyptic number.

412599440 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 412599440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550812960).

412599440 is an abundant number, since it is smaller than the sum of its proper divisors (689026480).

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

412599440 is a wasteful number, since it uses less digits than its factorization.

412599440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24720 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 412599440 is about 20312.5439076449. The cubic root of 412599440 is about 744.4625885696.

The spelling of 412599440 in words is "four hundred twelve million, five hundred ninety-nine thousand, four hundred forty".