412725040 has 240 divisors, whose sum is σ = 1225368000. Its totient is φ = 129153024.

The previous prime is 412725029. The next prime is 412725043. The reversal of 412725040 is 40527214.

It is a junction number, because it is equal to n+sod(n) for n = 412724996 and 412725014.

It is not an unprimeable number, because it can be changed into a prime (412725043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4637316 + ... + 4637404.

It is an arithmetic number, because the mean of its divisors is an integer number (5105700).

Almost surely, 2^412725040 is an apocalyptic number.

412725040 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 412725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612684000).

412725040 is an abundant number, since it is smaller than the sum of its proper divisors (812642960).

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

412725040 is a wasteful number, since it uses less digits than its factorization.

412725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 412725040 is about 20315.6353580192. The cubic root of 412725040 is about 744.5381218881.

The spelling of 412725040 in words is "four hundred twelve million, seven hundred twenty-five thousand, forty".