248462042400 has 1296 divisors, whose sum is σ = 1090553012640. Its totient is φ = 52619673600.

The previous prime is 248462042347. The next prime is 248462042407. The reversal of 248462042400 is 4240264842.

It is a happy number.

248462042400 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 620 + 4 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248462042407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 254310712 + ... + 254311688.

It is an arithmetic number, because the mean of its divisors is an integer number (841476090).

Almost surely, 2^248462042400 is an apocalyptic number.

248462042400 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 248462042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545276506320).

248462042400 is an abundant number, since it is smaller than the sum of its proper divisors (842090970240).

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

248462042400 is a wasteful number, since it uses less digits than its factorization.

248462042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 248462042400 in words is "two hundred forty-eight billion, four hundred sixty-two million, forty-two thousand, four hundred".