1540484001 has 75 divisors (see below), whose sum is σ = 2715096131. Its totient is φ = 870385824.

The previous prime is 1540483999. The next prime is 1540484009. The reversal of 1540484001 is 1004840451.

It is a happy number.

The square root of 1540484001 is 39249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 295805601 + 1244678400 = 17199^2 + 35280^2 .

It is not a de Polignac number, because 1540484001 - 2¹ = 1540483999 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540484009) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 17308765 + ... + 17308853.

Almost surely, 2^1540484001 is an apocalyptic number.

1540484001 is the 39249-th square number.

1540484001 is the 19625-th centered octagonal number.

It is an amenable number.

1540484001 is a deficient number, since it is larger than the sum of its proper divisors (1174612130).

1540484001 is an frugal number, since it uses more digits than its factorization.

1540484001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The cubic root of 1540484001 is about 1154.9213169540.

The spelling of 1540484001 in words is "one billion, five hundred forty million, four hundred eighty-four thousand, one".