754233480 has 864 divisors, whose sum is σ = 3514829760. Its totient is φ = 138378240.

The previous prime is 754233451. The next prime is 754233541. The reversal of 754233480 is 84332457.

It is a happy number.

754233480 is a `hidden beast` number, since 7 + 542 + 3 + 34 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32792749 + ... + 32792771.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090).

Almost surely, 2^754233480 is an apocalyptic number.

754233480 is a gapful number since it is divisible by the number (70) 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 754233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757414880).

754233480 is an abundant number, since it is smaller than the sum of its proper divisors (2760596280).

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

754233480 is a wasteful number, since it uses less digits than its factorization.

754233480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 754233480 is about 27463.3115264711. The cubic root of 754233480 is about 910.2665885607.

The spelling of 754233480 in words is "seven hundred fifty-four million, two hundred thirty-three thousand, four hundred eighty".