532427400 has 144 divisors (see below), whose sum is σ = 1822132260. Its totient is φ = 139276800.

The previous prime is 532427383. The next prime is 532427417. The reversal of 532427400 is 4724235.

It is an interprime number because it is at equal distance from previous prime (532427383) and next prime (532427417).

It can be written as a sum of positive squares in 6 ways, for example, as 201696804 + 330730596 = 14202^2 + 18186^2 .

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, 92610 + ... + 98190.

Almost surely, 2^532427400 is an apocalyptic number.

532427400 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 532427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911066130).

532427400 is an abundant number, since it is smaller than the sum of its proper divisors (1289704860).

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

532427400 is a wasteful number, since it uses less digits than its factorization.

532427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 532427400 is about 23074.3883992621. The cubic root of 532427400 is about 810.5008333829.

The spelling of 532427400 in words is "five hundred thirty-two million, four hundred twenty-seven thousand, four hundred".