530846400 has 504 divisors, whose sum is σ = 2114830416. Its totient is φ = 116121600.

The previous prime is 530846399. The next prime is 530846413. The reversal of 530846400 is 4648035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8702370 + ... + 8702430.

Almost surely, 2^530846400 is an apocalyptic number.

530846400 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 530846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057415208).

530846400 is an abundant number, since it is smaller than the sum of its proper divisors (1583984016).

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

530846400 is a wasteful number, since it uses less digits than its factorization.

530846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 530846400 is about 23040.1041664312. The cubic root of 530846400 is about 809.6977991704.

The spelling of 530846400 in words is "five hundred thirty million, eight hundred forty-six thousand, four hundred".