412390440 has 768 divisors, whose sum is σ = 1886976000. Its totient is φ = 78382080.

The previous prime is 412390417. The next prime is 412390441. The reversal of 412390440 is 44093214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412390441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14220346 + ... + 14220374.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^412390440 is an apocalyptic number.

412390440 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 412390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

412390440 is an abundant number, since it is smaller than the sum of its proper divisors (1474585560).

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

412390440 is a wasteful number, since it uses less digits than its factorization.

412390440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412390440 is about 20307.3986517230. The cubic root of 412390440 is about 744.3368661822.

The spelling of 412390440 in words is "four hundred twelve million, three hundred ninety thousand, four hundred forty".