415772 has 24 divisors (see below), whose sum is σ = 860160. Its totient is φ = 172080.

The previous prime is 415759. The next prime is 415783. The reversal of 415772 is 277514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (35840).

2⁴¹⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430080).

415772 is an abundant number, since it is smaller than the sum of its proper divisors (444388).

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

415772 is a wasteful number, since it uses less digits than its factorization.

415772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 415772 is about 644.8038461424. The cubic root of 415772 is about 74.6365826225.

The spelling of 415772 in words is "four hundred fifteen thousand, seven hundred seventy-two".