48463800 has 192 divisors, whose sum is σ = 187488000. Its totient is φ = 10060800.

The previous prime is 48463777. The next prime is 48463801. The reversal of 48463800 is 836484.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48463801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45676 + ... + 46724.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^48463800 is an apocalyptic number.

48463800 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 48463800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

48463800 is an abundant number, since it is smaller than the sum of its proper divisors (139024200).

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

48463800 is a wasteful number, since it uses less digits than its factorization.

48463800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48463800 is about 6961.5946449072. The cubic root of 48463800 is about 364.5908971129.

It can be divided in two parts, 4846 and 3800, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 48463800 in words is "forty-eight million, four hundred sixty-three thousand, eight hundred".