48260400 has 120 divisors (see below), whose sum is σ = 156281664. Its totient is φ = 12729600.

The previous prime is 48260357. The next prime is 48260419. The reversal of 48260400 is 406284.

48260400 is a nontrivial binomial coefficient, being equal to C(9825, 2).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157047 + ... + 157353.

Almost surely, 2^48260400 is an apocalyptic number.

48260400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48260400 is the 9824-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140832).

48260400 is an abundant number, since it is smaller than the sum of its proper divisors (108021264).

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

48260400 is a wasteful number, since it uses less digits than its factorization.

48260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48260400 is about 6946.9705627705. The cubic root of 48260400 is about 364.0801256609.

Adding to 48260400 its reverse (406284), we get a palindrome (48666684).

The spelling of 48260400 in words is "forty-eight million, two hundred sixty thousand, four hundred".