1462000540 has 192 divisors, whose sum is σ = 4168120320. Its totient is φ = 415964160.

The previous prime is 1462000489. The next prime is 1462000567. The reversal of 1462000540 is 450002641.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2061706 + ... + 2062414.

It is an arithmetic number, because the mean of its divisors is an integer number (21708960).

Almost surely, 2^1462000540 is an apocalyptic number.

1462000540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1462000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084060160).

1462000540 is an abundant number, since it is smaller than the sum of its proper divisors (2706119780).

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

1462000540 is a wasteful number, since it uses less digits than its factorization.

1462000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1462000540 is about 38236.1156499977. The cubic root of 1462000540 is about 1134.9651098359.

The spelling of 1462000540 in words is "one billion, four hundred sixty-two million, five hundred forty", and thus it is an aban number.