415561328 has 160 divisors (see below), whose sum is σ = 1065931776. Its totient is φ = 152285184.

The previous prime is 415561327. The next prime is 415561337. The reversal of 415561328 is 823165514.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415561327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549375 + ... + 2549537.

Almost surely, 2^415561328 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 415561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532965888).

415561328 is an abundant number, since it is smaller than the sum of its proper divisors (650370448).

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

415561328 is a wasteful number, since it uses less digits than its factorization.

415561328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 415561328 is about 20385.3213857422. The cubic root of 415561328 is about 746.2397435430.

The spelling of 415561328 in words is "four hundred fifteen million, five hundred sixty-one thousand, three hundred twenty-eight".