748500480 has 960 divisors, whose sum is σ = 3526649280. Its totient is φ = 148635648.

The previous prime is 748500479. The next prime is 748500509. The reversal of 748500480 is 84005847.

748500480 is a `hidden beast` number, since 74 + 8 + 500 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44029432 + ... + 44029448.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2^748500480 is an apocalyptic number.

748500480 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 748500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763324640).

748500480 is an abundant number, since it is smaller than the sum of its proper divisors (2778148800).

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

748500480 is a wasteful number, since it uses less digits than its factorization.

748500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 748500480 is about 27358.7368129451. The cubic root of 748500480 is about 907.9543793830.

The spelling of 748500480 in words is "seven hundred forty-eight million, five hundred thousand, four hundred eighty".