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469074144 = 253711233189
BaseRepresentation
bin11011111101011…
…000000011100000
31012200122102202110
4123331120003200
51430040333034
6114313515320
714424031050
oct3375300340
91180572673
10469074144
11220864390
12111112b40
1376247886
1446425560
152b2a9de9
hex1bf580e0

469074144 has 384 divisors, whose sum is σ = 1672151040. Its totient is φ = 111513600.

The previous prime is 469074127. The next prime is 469074173. The reversal of 469074144 is 441470964.

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, 5270452 + ... + 5270540.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2469074144 is an apocalyptic number.

469074144 is a gapful number since it is divisible by the number (44) 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 469074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).

469074144 is an abundant number, since it is smaller than the sum of its proper divisors (1203076896).

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

469074144 is a wasteful number, since it uses less digits than its factorization.

469074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 469074144 is about 21658.1195859659. The cubic root of 469074144 is about 776.9871413689.

The spelling of 469074144 in words is "four hundred sixty-nine million, seventy-four thousand, one hundred forty-four".