248946230400 has 384 divisors, whose sum is σ = 938849909760. Its totient is φ = 56796057600.

The previous prime is 248946230371. The next prime is 248946230441. The reversal of 248946230400 is 4032649842.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39443245 + ... + 39449555.

It is an arithmetic number, because the mean of its divisors is an integer number (2444921640).

Almost surely, 2^248946230400 is an apocalyptic number.

248946230400 is a gapful number since it is divisible by the number (20) 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 248946230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469424954880).

248946230400 is an abundant number, since it is smaller than the sum of its proper divisors (689903679360).

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

248946230400 is a wasteful number, since it uses less digits than its factorization.

248946230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 248946230400 in words is "two hundred forty-eight billion, nine hundred forty-six million, two hundred thirty thousand, four hundred".