1454131440 has 240 divisors, whose sum is σ = 5111922816. Its totient is φ = 384134400.

The previous prime is 1454131439. The next prime is 1454131447. The reversal of 1454131440 is 441314541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1454131440² = 4228996489592947200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454131447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546355 + ... + 2546925.

Almost surely, 2^1454131440 is an apocalyptic number.

1454131440 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 1454131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555961408).

1454131440 is an abundant number, since it is smaller than the sum of its proper divisors (3657791376).

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

1454131440 is a wasteful number, since it uses less digits than its factorization.

1454131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1454131440 is about 38133.0754070531. The cubic root of 1454131440 is about 1132.9251594330.

Adding to 1454131440 its reverse (441314541), we get a palindrome (1895445981).

The spelling of 1454131440 in words is "one billion, four hundred fifty-four million, one hundred thirty-one thousand, four hundred forty".