1460225970 has 144 divisors (see below), whose sum is σ = 4436752320. Its totient is φ = 332232768.

The previous prime is 1460225959. The next prime is 1460225993. The reversal of 1460225970 is 795220641.

1460225970 is a `hidden beast` number, since 1 + 4 + 60 + 2 + 2 + 597 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159201 + ... + 1160459.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^1460225970 is an apocalyptic number.

1460225970 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 1460225970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218376160).

1460225970 is an abundant number, since it is smaller than the sum of its proper divisors (2976526350).

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

1460225970 is a wasteful number, since it uses less digits than its factorization.

1460225970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1539 counting only the distinct ones).

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

The square root of 1460225970 is about 38212.9031872743. The cubic root of 1460225970 is about 1134.5057186520.

It can be divided in two parts, 1460225 and 970, that added together give a triangular number (1461195 = T₁₇₀₉).

The spelling of 1460225970 in words is "one billion, four hundred sixty million, two hundred twenty-five thousand, nine hundred seventy".