1233649440 has 120 divisors (see below), whose sum is σ = 4353800220. Its totient is φ = 328969728.

The previous prime is 1233649429. The next prime is 1233649447. The reversal of 1233649440 is 449463321.

It is a happy number.

1233649440 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 649 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1177038864 + 56610576 = 34308^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1233649395 and 1233649404.

It is not an unprimeable number, because it can be changed into a prime (1233649447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34635 + ... + 60554.

Almost surely, 2^1233649440 is an apocalyptic number.

1233649440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233649440 is an abundant number, since it is smaller than the sum of its proper divisors (3120150780).

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

1233649440 is an equidigital number, since it uses as much as digits as its factorization.

1233649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95216 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1233649440 is about 35123.3460820577. The cubic root of 1233649440 is about 1072.4998875251.

It can be divided in two parts, 12336 and 49440, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 1233649440 in words is "one billion, two hundred thirty-three million, six hundred forty-nine thousand, four hundred forty".