1460055000 has 320 divisors, whose sum is σ = 4948416000. Its totient is φ = 357696000.

The previous prime is 1460054993. The next prime is 1460055001. The reversal of 1460055000 is 5500641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460055001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13394946 + ... + 13395054.

It is an arithmetic number, because the mean of its divisors is an integer number (15463800).

Almost surely, 2^1460055000 is an apocalyptic number.

1460055000 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 1460055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474208000).

1460055000 is an abundant number, since it is smaller than the sum of its proper divisors (3488361000).

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

1460055000 is a wasteful number, since it uses less digits than its factorization.

1460055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1460055000 is about 38210.6660502012. Note that the first 3 decimals coincide. The cubic root of 1460055000 is about 1134.4614392009.

Adding to 1460055000 its reverse (5500641), we get a palindrome (1465555641).

The spelling of 1460055000 in words is "one billion, four hundred sixty million, fifty-five thousand".