48642400 has 72 divisors (see below), whose sum is σ = 121726584. Its totient is φ = 18969600.

The previous prime is 48642371. The next prime is 48642403. The reversal of 48642400 is 424684.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48642403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32059 + ... + 33541.

It is an arithmetic number, because the mean of its divisors is an integer number (1690647).

Almost surely, 2^48642400 is an apocalyptic number.

48642400 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 48642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60863292).

48642400 is an abundant number, since it is smaller than the sum of its proper divisors (73084184).

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

48642400 is a wasteful number, since it uses less digits than its factorization.

48642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 48642400 is about 6974.4103693431. The cubic root of 48642400 is about 365.0382145515.

The spelling of 48642400 in words is "forty-eight million, six hundred forty-two thousand, four hundred".