1457946000 has 960 divisors, whose sum is σ = 6615648000. Its totient is φ = 304819200.

The previous prime is 1457945989. The next prime is 1457946013. The reversal of 1457946000 is 6497541.

1457946000 is a `hidden beast` number, since 1 + 45 + 7 + 9 + 4 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50273986 + ... + 50274014.

It is an arithmetic number, because the mean of its divisors is an integer number (6891300).

Almost surely, 2^1457946000 is an apocalyptic number.

1457946000 is a gapful number since it is divisible by the number (10) 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 1457946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

1457946000 is an abundant number, since it is smaller than the sum of its proper divisors (5157702000).

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

1457946000 is a wasteful number, since it uses less digits than its factorization.

1457946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1457946000 is about 38183.0590707450. The cubic root of 1457946000 is about 1133.9149456098.

The spelling of 1457946000 in words is "one billion, four hundred fifty-seven million, nine hundred forty-six thousand".