48461700 has 144 divisors (see below), whose sum is σ = 163989504. Its totient is φ = 10819200.

The previous prime is 48461687. The next prime is 48461701. The reversal of 48461700 is 716484.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48461701) 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, 98455 + ... + 98945.

It is an arithmetic number, because the mean of its divisors is an integer number (1138816).

Almost surely, 2^48461700 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 48461700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81994752).

48461700 is an abundant number, since it is smaller than the sum of its proper divisors (115527804).

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

48461700 is a wasteful number, since it uses less digits than its factorization.

48461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48461700 is about 6961.4438157612. The cubic root of 48461700 is about 364.5856309696.

The spelling of 48461700 in words is "forty-eight million, four hundred sixty-one thousand, seven hundred".