532778400 has 648 divisors, whose sum is σ = 2420282592. Its totient is φ = 107136000.

The previous prime is 532778399. The next prime is 532778473. The reversal of 532778400 is 4877235.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17186385 + ... + 17186415.

It is an arithmetic number, because the mean of its divisors is an integer number (3735004).

Almost surely, 2^532778400 is an apocalyptic number.

532778400 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 532778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210141296).

532778400 is an abundant number, since it is smaller than the sum of its proper divisors (1887504192).

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

532778400 is a wasteful number, since it uses less digits than its factorization.

532778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 532778400 is about 23081.9929815430. The cubic root of 532778400 is about 810.6789004146.

The spelling of 532778400 in words is "five hundred thirty-two million, seven hundred seventy-eight thousand, four hundred".