224927461440 has 840 divisors, whose sum is σ = 910149914520. Its totient is φ = 52626309120.

The previous prime is 224927461439. The next prime is 224927461459. The reversal of 224927461440 is 44164729422.

224927461440 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 27 + 4 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44717023296 + 180210438144 = 211464^2 + 424512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90952044 + ... + 90954516.

It is an arithmetic number, because the mean of its divisors is an integer number (1083511803).

Almost surely, 2^224927461440 is an apocalyptic number.

224927461440 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 224927461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455074957260).

224927461440 is an abundant number, since it is smaller than the sum of its proper divisors (685222453080).

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

224927461440 is a wasteful number, since it uses less digits than its factorization.

224927461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 224927461440 in words is "two hundred twenty-four billion, nine hundred twenty-seven million, four hundred sixty-one thousand, four hundred forty".