741012480 has 264 divisors, whose sum is σ = 2767331112. Its totient is φ = 182255616.

The previous prime is 741012401. The next prime is 741012497. The reversal of 741012480 is 84210147.

741012480 is a `hidden beast` number, since 7 + 410 + 1 + 248 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 691900416 = 7008^2 + 26304^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 598422 + ... + 599658.

Almost surely, 2^741012480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383665556).

741012480 is an abundant number, since it is smaller than the sum of its proper divisors (2026318632).

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

741012480 is a wasteful number, since it uses less digits than its factorization.

741012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 741012480 is about 27221.5444087950. The cubic root of 741012480 is about 904.9165007463.

The spelling of 741012480 in words is "seven hundred forty-one million, twelve thousand, four hundred eighty".