1451460000 has 240 divisors, whose sum is σ = 5044685184. Its totient is φ = 364032000.

The previous prime is 1451459987. The next prime is 1451460041. The reversal of 1451460000 is 641541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1451460000² = 4213472263200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019289 + ... + 1020711.

Almost surely, 2^1451460000 is an apocalyptic number.

1451460000 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 1451460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522342592).

1451460000 is an abundant number, since it is smaller than the sum of its proper divisors (3593225184).

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

1451460000 is a wasteful number, since it uses less digits than its factorization.

1451460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1451460000 is about 38098.0314452072. The cubic root of 1451460000 is about 1132.2309542211.

The spelling of 1451460000 in words is "one billion, four hundred fifty-one million, four hundred sixty thousand".