1461045810 has 256 divisors, whose sum is σ = 4379443200. Its totient is φ = 304819200.

The previous prime is 1461045791. The next prime is 1461045821. The reversal of 1461045810 is 185401641.

It is a super-2 number, since 2×1461045810² = 4269309717837112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13404036 + ... + 13404144.

It is an arithmetic number, because the mean of its divisors is an integer number (17107200).

Almost surely, 2^1461045810 is an apocalyptic number.

1461045810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461045810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189721600).

1461045810 is an abundant number, since it is smaller than the sum of its proper divisors (2918397390).

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

1461045810 is a wasteful number, since it uses less digits than its factorization.

1461045810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1461045810 is about 38223.6289485967. The cubic root of 1461045810 is about 1134.7180006713.

The spelling of 1461045810 in words is "one billion, four hundred sixty-one million, forty-five thousand, eight hundred ten".