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502428960 = 253351197109
BaseRepresentation
bin11101111100100…
…111010100100000
31022000102000222000
4131330213110200
52012110211320
6121504444000
715310401315
oct3574472440
91260360860
10502428960
11238676350
12120319600
1380125857
144aa28d0c
152e197c90
hex1df27520

502428960 has 384 divisors, whose sum is σ = 1955923200. Its totient is φ = 119439360.

The previous prime is 502428947. The next prime is 502428961. The reversal of 502428960 is 69824205.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502428961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4609386 + ... + 4609494.

It is an arithmetic number, because the mean of its divisors is an integer number (5093550).

Almost surely, 2502428960 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 502428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977961600).

502428960 is an abundant number, since it is smaller than the sum of its proper divisors (1453494240).

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

502428960 is a wasteful number, since it uses less digits than its factorization.

502428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 502428960 is about 22414.9271691879. The cubic root of 502428960 is about 794.9836949308.

The spelling of 502428960 in words is "five hundred two million, four hundred twenty-eight thousand, nine hundred sixty".