1460001460 has 48 divisors (see below), whose sum is σ = 3139092432. Its totient is φ = 570240000.

The previous prime is 1460001427. The next prime is 1460001493. The reversal of 1460001460 is 641000641.

It is an interprime number because it is at equal distance from previous prime (1460001427) and next prime (1460001493).

It can be written as a sum of positive squares in 8 ways, for example, as 396328464 + 1063672996 = 19908^2 + 32614^2 .

It is a super-3 number, since 3×1460001460³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142510 + ... + 152410.

It is an arithmetic number, because the mean of its divisors is an integer number (65397759).

Almost surely, 2^1460001460 is an apocalyptic number.

1460001460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460001460 is an abundant number, since it is smaller than the sum of its proper divisors (1679090972).

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

1460001460 is a wasteful number, since it uses less digits than its factorization.

1460001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1460001460 is about 38209.9654540540. The cubic root of 1460001460 is about 1134.4475721872.

It can be divided in two parts, 146000 and 1460, that multiplied together give a square (213160000 = 14600²).

The spelling of 1460001460 in words is "one billion, four hundred sixty million, one thousand, four hundred sixty".