48461175400 has 192 divisors, whose sum is σ = 126843667200. Its totient is φ = 17067648000.

The previous prime is 48461175353. The next prime is 48461175403. The reversal of 48461175400 is 457116484.

It is a super-2 number, since 2×48461175400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48461175403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9208770 + ... + 9214030.

It is an arithmetic number, because the mean of its divisors is an integer number (660644100).

Almost surely, 2^48461175400 is an apocalyptic number.

48461175400 is a gapful number since it is divisible by the number (40) 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 48461175400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63421833600).

48461175400 is an abundant number, since it is smaller than the sum of its proper divisors (78382491800).

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

48461175400 is a wasteful number, since it uses less digits than its factorization.

48461175400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 48461175400 in words is "forty-eight billion, four hundred sixty-one million, one hundred seventy-five thousand, four hundred".