413619360 has 576 divisors, whose sum is σ = 1769693184. Its totient is φ = 78796800.

The previous prime is 413619359. The next prime is 413619377. The reversal of 413619360 is 63916314.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13342545 + ... + 13342575.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^413619360 is an apocalyptic number.

413619360 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 413619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884846592).

413619360 is an abundant number, since it is smaller than the sum of its proper divisors (1356073824).

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

413619360 is a wasteful number, since it uses less digits than its factorization.

413619360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 413619360 is about 20337.6340806889. The cubic root of 413619360 is about 745.0755054623.

It can be divided in two parts, 41361 and 9360, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 413619360 in words is "four hundred thirteen million, six hundred nineteen thousand, three hundred sixty".