1403640224 has 96 divisors (see below), whose sum is σ = 3385017216. Its totient is φ = 559226880.

The previous prime is 1403640193. The next prime is 1403640239. The reversal of 1403640224 is 4220463041.

It is a junction number, because it is equal to n+sod(n) for n = 1403640193 and 1403640202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313844 + ... + 318284.

It is an arithmetic number, because the mean of its divisors is an integer number (35260596).

Almost surely, 2^1403640224 is an apocalyptic number.

1403640224 is a gapful number since it is divisible by the number (14) 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 1403640224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692508608).

1403640224 is an abundant number, since it is smaller than the sum of its proper divisors (1981376992).

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

1403640224 is a wasteful number, since it uses less digits than its factorization.

1403640224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1403640224 is about 37465.1868272400. The cubic root of 1403640224 is about 1119.6576930100.

The spelling of 1403640224 in words is "one billion, four hundred three million, six hundred forty thousand, two hundred twenty-four".