48950400 has 96 divisors (see below), whose sum is σ = 161262000. Its totient is φ = 13050880.

The previous prime is 48950399. The next prime is 48950411. The reversal of 48950400 is 405984.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48950400² = 4792283320320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 12149.

Almost surely, 2^48950400 is an apocalyptic number.

48950400 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 48950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80631000).

48950400 is an abundant number, since it is smaller than the sum of its proper divisors (112311600).

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

48950400 is a wasteful number, since it uses less digits than its factorization.

48950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48950400 is about 6996.4562458433. The cubic root of 48950400 is about 365.8070588669.

The spelling of 48950400 in words is "forty-eight million, nine hundred fifty thousand, four hundred".