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530504400 = 24352592127
BaseRepresentation
bin11111100111101…
…101101011010000
31100222020102020010
4133213231223100
52041302120100
6124350314520
716101133026
oct3747555320
91328212203
10530504400
11252501898
121297b8a40
1385ba583a
1450656716
1531891750
hex1f9edad0

530504400 has 180 divisors, whose sum is σ = 1742285312. Its totient is φ = 137975040.

The previous prime is 530504399. The next prime is 530504411. The reversal of 530504400 is 4405035.

It is a happy number.

530504400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4177137 + ... + 4177263.

Almost surely, 2530504400 is an apocalyptic number.

530504400 is a gapful number since it is divisible by the number (50) 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 530504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871142656).

530504400 is an abundant number, since it is smaller than the sum of its proper divisors (1211780912).

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

530504400 is a wasteful number, since it uses less digits than its factorization.

530504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 530504400 is about 23032.6811292129. The cubic root of 530504400 is about 809.5238780908.

Adding to 530504400 its reverse (4405035), we get a palindrome (534909435).

The spelling of 530504400 in words is "five hundred thirty million, five hundred four thousand, four hundred".