742478400 has 420 divisors, whose sum is σ = 2898277668. Its totient is φ = 185794560.

The previous prime is 742478393. The next prime is 742478441. The reversal of 742478400 is 4874247.

742478400 is a `hidden beast` number, since 7 + 4 + 247 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 732893184 = 3096^2 + 27072^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203032 + ... + 2203368.

Almost surely, 2^742478400 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 742478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449138834).

742478400 is an abundant number, since it is smaller than the sum of its proper divisors (2155799268).

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

742478400 is a wasteful number, since it uses less digits than its factorization.

742478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 742478400 is about 27248.4568370394. The cubic root of 742478400 is about 905.5128296189.

The spelling of 742478400 in words is "seven hundred forty-two million, four hundred seventy-eight thousand, four hundred".