424648249200 has 540 divisors, whose sum is σ = 1722999579600. Its totient is φ = 96566722560.

The previous prime is 424648249183. The next prime is 424648249213. The reversal of 424648249200 is 2942846424.

424648249200 is a `hidden beast` number, since 4 + 24 + 64 + 82 + 492 + 0 + 0 = 666.

424648249200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424648249200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35097552 + ... + 35109648.

Almost surely, 2^424648249200 is an apocalyptic number.

424648249200 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 424648249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861499789800).

424648249200 is an abundant number, since it is smaller than the sum of its proper divisors (1298351330400).

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

424648249200 is a wasteful number, since it uses less digits than its factorization.

424648249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

It can be divided in two parts, 424648249 and 200, that added together give a square (424648449 = 20607²).

The spelling of 424648249200 in words is "four hundred twenty-four billion, six hundred forty-eight million, two hundred forty-nine thousand, two hundred".