415952 has 10 divisors (see below), whose sum is σ = 805938. Its totient is φ = 207968.

The previous prime is 415951. The next prime is 415957. The reversal of 415952 is 259514.

415952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 141376 = 524^2 + 376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12983 + ... + 13014.

2⁴¹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

415952 is a deficient number, since it is larger than the sum of its proper divisors (389986).

415952 is a wasteful number, since it uses less digits than its factorization.

415952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26005 (or 25999 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 415952 is about 644.9434083701. The cubic root of 415952 is about 74.6473518635.

The spelling of 415952 in words is "four hundred fifteen thousand, nine hundred fifty-two".