413709120 has 280 divisors, whose sum is σ = 1606527648. Its totient is φ = 100224000.

The previous prime is 413709103. The next prime is 413709143. The reversal of 413709120 is 21907314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284395 + ... + 285845.

Almost surely, 2^413709120 is an apocalyptic number.

413709120 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 413709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803263824).

413709120 is an abundant number, since it is smaller than the sum of its proper divisors (1192818528).

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

413709120 is a wasteful number, since it uses less digits than its factorization.

413709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 413709120 is about 20339.8407073409. The cubic root of 413709120 is about 745.1293981204.

The spelling of 413709120 in words is "four hundred thirteen million, seven hundred nine thousand, one hundred twenty".