413749875 has 192 divisors, whose sum is σ = 921922560. Its totient is φ = 162624000.

The previous prime is 413749849. The next prime is 413749879. The reversal of 413749875 is 578947314.

It is a happy number.

It is not a de Polignac number, because 413749875 - 2⁶ = 413749811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413749879) 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, 4648831 + ... + 4648919.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2^413749875 is an apocalyptic number.

413749875 is an abundant number, since it is smaller than the sum of its proper divisors (508172685).

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

413749875 is a wasteful number, since it uses less digits than its factorization.

413749875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 413749875 is about 20340.8425341725. The cubic root of 413749875 is about 745.1538651916.

The spelling of 413749875 in words is "four hundred thirteen million, seven hundred forty-nine thousand, eight hundred seventy-five".