413693280 has 864 divisors, whose sum is σ = 1976371488. Its totient is φ = 77414400.

The previous prime is 413693279. The next prime is 413693303. The reversal of 413693280 is 82396314.

It is a super-2 number, since 2×413693280² = 342284259834316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10090060 + ... + 10090100.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2^413693280 is an apocalyptic number.

413693280 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 413693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988185744).

413693280 is an abundant number, since it is smaller than the sum of its proper divisors (1562678208).

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

413693280 is a wasteful number, since it uses less digits than its factorization.

413693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 413693280 is about 20339.4513200332. The cubic root of 413693280 is about 745.1198882178.

The spelling of 413693280 in words is "four hundred thirteen million, six hundred ninety-three thousand, two hundred eighty".