1460400970 has 32 divisors (see below), whose sum is σ = 3012912000. Its totient is φ = 499265856.

The previous prime is 1460400961. The next prime is 1460400973. The reversal of 1460400970 is 790040641.

It is not an unprimeable number, because it can be changed into a prime (1460400973) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5460 + ... + 54319.

It is an arithmetic number, because the mean of its divisors is an integer number (94153500).

Almost surely, 2^1460400970 is an apocalyptic number.

1460400970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1460400970 is an abundant number, since it is smaller than the sum of its proper divisors (1552511030).

1460400970 is a wasteful number, since it uses less digits than its factorization.

1460400970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60142.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1460400970 is about 38215.1929211407. The cubic root of 1460400970 is about 1134.5510382519.

The spelling of 1460400970 in words is "one billion, four hundred sixty million, four hundred thousand, nine hundred seventy".