1047633480 has 64 divisors (see below), whose sum is σ = 3492115200. Its totient is φ = 279368640.

The previous prime is 1047633451. The next prime is 1047633481. The reversal of 1047633480 is 843367401.

1047633480 is a `hidden beast` number, since 10 + 4 + 7 + 633 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1047633481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483936 + ... + 486095.

It is an arithmetic number, because the mean of its divisors is an integer number (54564300).

Almost surely, 2^1047633480 is an apocalyptic number.

1047633480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047633480 is an abundant number, since it is smaller than the sum of its proper divisors (2444481720).

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

1047633480 is a wasteful number, since it uses less digits than its factorization.

1047633480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970051 (or 970041 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1047633480 is about 32367.1666971331. The cubic root of 1047633480 is about 1015.6321880422.

It can be divided in two parts, 10476 and 33480, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 1047633480 in words is "one billion, forty-seven million, six hundred thirty-three thousand, four hundred eighty".