48720400 has 45 divisors (see below), whose sum is σ = 117387111. Its totient is φ = 19432320.

The previous prime is 48720383. The next prime is 48720401. The reversal of 48720400 is 402784.

The square root of 48720400 is 6980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 48219136 = 708^2 + 6944^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48720401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139426 + ... + 139774.

Almost surely, 2^48720400 is an apocalyptic number.

48720400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48720400 is the 6980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48720400

48720400 is an abundant number, since it is smaller than the sum of its proper divisors (68666711).

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

48720400 is an equidigital number, since it uses as much as digits as its factorization.

48720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The cubic root of 48720400 is about 365.2332280589.

Multiplying 48720400 by its sum of digits (25), we get a square (1218010000 = 34900²).

48720400 divided by its sum of digits (25) gives a square (1948816 = 1396²).

The spelling of 48720400 in words is "forty-eight million, seven hundred twenty thousand, four hundred".