532464000 has 128 divisors (see below), whose sum is σ = 1765277280. Its totient is φ = 141977600.

The previous prime is 532463951. The next prime is 532464001. The reversal of 532464000 is 464235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×532464000² = 567035822592000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532464001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42454 + ... + 53546.

Almost surely, 2^532464000 is an apocalyptic number.

532464000 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 532464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882638640).

532464000 is an abundant number, since it is smaller than the sum of its proper divisors (1232813280).

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

532464000 is a wasteful number, since it uses less digits than its factorization.

532464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 532464000 is about 23075.1814727425. The cubic root of 532464000 is about 810.5194047104.

The spelling of 532464000 in words is "five hundred thirty-two million, four hundred sixty-four thousand".