1461521970 has 96 divisors (see below), whose sum is σ = 3939047424. Its totient is φ = 375580800.

The previous prime is 1461521947. The next prime is 1461521983. The reversal of 1461521970 is 791251641.

1461521970 is a `hidden beast` number, since 1 + 4 + 61 + 521 + 9 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755124 + ... + 757056.

It is an arithmetic number, because the mean of its divisors is an integer number (41031744).

Almost surely, 2^1461521970 is an apocalyptic number.

1461521970 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 1461521970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969523712).

1461521970 is an abundant number, since it is smaller than the sum of its proper divisors (2477525454).

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

1461521970 is a wasteful number, since it uses less digits than its factorization.

1461521970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1461521970 is about 38229.8570491704. The cubic root of 1461521970 is about 1134.8412568198.

It can be divided in two parts, 14615 and 21970, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1461521970 in words is "one billion, four hundred sixty-one million, five hundred twenty-one thousand, nine hundred seventy".