1225448640 has 336 divisors, whose sum is σ = 4613184576. Its totient is φ = 296755200.

The previous prime is 1225448633. The next prime is 1225448659. The reversal of 1225448640 is 468445221.

1225448640 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 4 + 8 + 640 = 666.

It is a super-3 number, since 3×1225448640³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1225448595 and 1225448604.

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, 2658010 + ... + 2658470.

It is an arithmetic number, because the mean of its divisors is an integer number (13729716).

Almost surely, 2^1225448640 is an apocalyptic number.

1225448640 is a gapful number since it is divisible by the number (10) 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 1225448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306592288).

1225448640 is an abundant number, since it is smaller than the sum of its proper divisors (3387735936).

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

1225448640 is a wasteful number, since it uses less digits than its factorization.

1225448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1225448640 is about 35006.4085561487. The cubic root of 1225448640 is about 1070.1180875290.

The spelling of 1225448640 in words is "one billion, two hundred twenty-five million, four hundred forty-eight thousand, six hundred forty".