48976900 has 144 divisors (see below), whose sum is σ = 130880512. Its totient is φ = 15552000.

The previous prime is 48976897. The next prime is 48976901. The reversal of 48976900 is 967984.

It is a super-2 number, since 2×48976900² = 4797473467220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48976901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802870 + ... + 802930.

Almost surely, 2^48976900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48976900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440256).

48976900 is an abundant number, since it is smaller than the sum of its proper divisors (81903612).

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

48976900 is a wasteful number, since it uses less digits than its factorization.

48976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 48976900 is about 6998.3498054899. The cubic root of 48976900 is about 365.8730585882.

The spelling of 48976900 in words is "forty-eight million, nine hundred seventy-six thousand, nine hundred".