741150480 has 480 divisors, whose sum is σ = 2931240960. Its totient is φ = 153861120.

The previous prime is 741150467. The next prime is 741150493. The reversal of 741150480 is 84051147.

It is an interprime number because it is at equal distance from previous prime (741150467) and next prime (741150493).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6926587 + ... + 6926693.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2^741150480 is an apocalyptic number.

741150480 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 741150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

741150480 is an abundant number, since it is smaller than the sum of its proper divisors (2190090480).

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

741150480 is a wasteful number, since it uses less digits than its factorization.

741150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 741150480 is about 27224.0790477842. The cubic root of 741150480 is about 904.9726719666.

The spelling of 741150480 in words is "seven hundred forty-one million, one hundred fifty thousand, four hundred eighty".