1472405760 has 648 divisors, whose sum is σ = 6332639040. Its totient is φ = 308551680.

The previous prime is 1472405731. The next prime is 1472405761. The reversal of 1472405760 is 675042741.

1472405760 = T₁₂₄₄₀ + T₁₂₄₄₁ + ... + T₁₂₄₅₈.

1472405760 is a `hidden beast` number, since 1 + 47 + 2 + 40 + 576 + 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 (1472405761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47496945 + ... + 47496975.

Almost surely, 2^1472405760 is an apocalyptic number.

1472405760 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 1472405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166319520).

1472405760 is an abundant number, since it is smaller than the sum of its proper divisors (4860233280).

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

1472405760 is a wasteful number, since it uses less digits than its factorization.

1472405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1472405760 is about 38371.9397476854. The cubic root of 1472405760 is about 1137.6513047535.

The spelling of 1472405760 in words is "one billion, four hundred seventy-two million, four hundred five thousand, seven hundred sixty".