413150760 has 256 divisors, whose sum is σ = 1524096000. Its totient is φ = 98714880.

The previous prime is 413150747. The next prime is 413150767. The reversal of 413150760 is 67051314.

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

It is not an unprimeable number, because it can be changed into a prime (413150767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985831 + ... + 986249.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^413150760 is an apocalyptic number.

413150760 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 413150760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

413150760 is an abundant number, since it is smaller than the sum of its proper divisors (1110945240).

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

413150760 is a wasteful number, since it uses less digits than its factorization.

413150760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 413150760 is about 20326.1103017769. The cubic root of 413150760 is about 744.7940274099.

The spelling of 413150760 in words is "four hundred thirteen million, one hundred fifty thousand, seven hundred sixty".