1451377460 has 48 divisors (see below), whose sum is σ = 3300587472. Its totient is φ = 532915200.

The previous prime is 1451377457. The next prime is 1451377489. The reversal of 1451377460 is 647731541.

It can be written as a sum of positive squares in 8 ways, for example, as 267191716 + 1184185744 = 16346^2 + 34412^2 .

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, 31640 + ... + 62480.

It is an arithmetic number, because the mean of its divisors is an integer number (68762239).

Almost surely, 2^1451377460 is an apocalyptic number.

1451377460 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 1451377460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650293736).

1451377460 is an abundant number, since it is smaller than the sum of its proper divisors (1849210012).

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

1451377460 is a wasteful number, since it uses less digits than its factorization.

1451377460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31044 (or 31042 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1451377460 is about 38096.9481717368. The cubic root of 1451377460 is about 1132.2094916674.

The spelling of 1451377460 in words is "one billion, four hundred fifty-one million, three hundred seventy-seven thousand, four hundred sixty".