5457294000 has 560 divisors, whose sum is σ = 20931562080. Its totient is φ = 1371686400.

The previous prime is 5457293993. The next prime is 5457294041. The reversal of 5457294000 is 4927545.

5457294000 is a `hidden beast` number, since 545 + 72 + 9 + 40 + 0 + 0 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27701902 + ... + 27702098.

Almost surely, 2^5457294000 is an apocalyptic number.

5457294000 is a gapful number since it is divisible by the number (50) 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 5457294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465781040).

5457294000 is an abundant number, since it is smaller than the sum of its proper divisors (15474268080).

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

5457294000 is a wasteful number, since it uses less digits than its factorization.

5457294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5457294000 is about 73873.4999847713. The cubic root of 5457294000 is about 1760.5935928213.

The spelling of 5457294000 in words is "five billion, four hundred fifty-seven million, two hundred ninety-four thousand".