52460100 has 216 divisors, whose sum is σ = 205278528. Its totient is φ = 10886400.

The previous prime is 52460087. The next prime is 52460119. The reversal of 52460100 is 106425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 68922 + ... + 69678.

Almost surely, 2^52460100 is an apocalyptic number.

52460100 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 52460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102639264).

52460100 is an abundant number, since it is smaller than the sum of its proper divisors (152818428).

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

52460100 is a wasteful number, since it uses less digits than its factorization.

52460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52460100 is about 7242.9344881754. The cubic root of 52460100 is about 374.3487362696.

Adding to 52460100 its reverse (106425), we get a palindrome (52566525).

The spelling of 52460100 in words is "fifty-two million, four hundred sixty thousand, one hundred".