1455631040 has 112 divisors (see below), whose sum is σ = 3766840320. Its totient is φ = 533744640.

The previous prime is 1455631039. The next prime is 1455631081. The reversal of 1455631040 is 401365541.

It is a happy number.

It is a super-2 number, since 2×1455631040² = 4237723449222963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1455630994 and 1455631012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184619 + ... + 192341.

Almost surely, 2^1455631040 is an apocalyptic number.

1455631040 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 1455631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883420160).

1455631040 is an abundant number, since it is smaller than the sum of its proper divisors (2311209280).

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

1455631040 is a wasteful number, since it uses less digits than its factorization.

1455631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1455631040 is about 38152.7330606865. The cubic root of 1455631040 is about 1133.3144756570.

Adding to 1455631040 its reverse (401365541), we get a palindrome (1856996581).

The spelling of 1455631040 in words is "one billion, four hundred fifty-five million, six hundred thirty-one thousand, forty".