457890000 has 100 divisors (see below), whose sum is σ = 1478226816. Its totient is φ = 122096000.

The previous prime is 457889989. The next prime is 457890007. The reversal of 457890000 is 98754.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457890007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22369 + ... + 37631.

Almost surely, 2^457890000 is an apocalyptic number.

457890000 is a gapful number since it is divisible by the number (40) 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 457890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739113408).

457890000 is an abundant number, since it is smaller than the sum of its proper divisors (1020336816).

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

457890000 is a wasteful number, since it uses less digits than its factorization.

457890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15294 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 457890000 is about 21398.3644234787. The cubic root of 457890000 is about 770.7621620841.

The spelling of 457890000 in words is "four hundred fifty-seven million, eight hundred ninety thousand".