52742400 has 216 divisors, whose sum is σ = 180967584. Its totient is φ = 13516800.

The previous prime is 52742357. The next prime is 52742407. The reversal of 52742400 is 424725.

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 (52742407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787167 + ... + 787233.

Almost surely, 2^52742400 is an apocalyptic number.

52742400 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 52742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90483792).

52742400 is an abundant number, since it is smaller than the sum of its proper divisors (128225184).

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

52742400 is a wasteful number, since it uses less digits than its factorization.

52742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 52742400 is about 7262.3962987433. The cubic root of 52742400 is about 375.0190212574.

The spelling of 52742400 in words is "fifty-two million, seven hundred forty-two thousand, four hundred".