412823040 has 240 divisors, whose sum is σ = 1536611472. Its totient is φ = 94273536.

The previous prime is 412823009. The next prime is 412823069. The reversal of 412823040 is 40328214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412823040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375772 + ... + 376868.

Almost surely, 2^412823040 is an apocalyptic number.

412823040 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 412823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768305736).

412823040 is an abundant number, since it is smaller than the sum of its proper divisors (1123788432).

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

412823040 is a wasteful number, since it uses less digits than its factorization.

412823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 412823040 is about 20318.0471502554. The cubic root of 412823040 is about 744.5970464784.

The spelling of 412823040 in words is "four hundred twelve million, eight hundred twenty-three thousand, forty".