413169120 has 384 divisors, whose sum is σ = 1781498880. Its totient is φ = 87091200.

The previous prime is 413169109. The next prime is 413169137. The reversal of 413169120 is 21961314.

413169120 = T₄₆₁ + T₄₆₂ + ... + T₁₃₇₀.

It is a super-3 number, since 3×413169120³ (a number of 27 digits) contains 333 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392595 + ... + 393645.

It is an arithmetic number, because the mean of its divisors is an integer number (4639320).

Almost surely, 2^413169120 is an apocalyptic number.

413169120 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 413169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890749440).

413169120 is an abundant number, since it is smaller than the sum of its proper divisors (1368329760).

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

413169120 is a wasteful number, since it uses less digits than its factorization.

413169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 413169120 is about 20326.5619326043. The cubic root of 413169120 is about 744.8050598764.

The spelling of 413169120 in words is "four hundred thirteen million, one hundred sixty-nine thousand, one hundred twenty".