1451831040 has 720 divisors, whose sum is σ = 6054491520. Its totient is φ = 328458240.

The previous prime is 1451831009. The next prime is 1451831063. The reversal of 1451831040 is 401381541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 1451830995 and 1451831013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21669087 + ... + 21669153.

It is an arithmetic number, because the mean of its divisors is an integer number (8409016).

Almost surely, 2^1451831040 is an apocalyptic number.

1451831040 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 1451831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027245760).

1451831040 is an abundant number, since it is smaller than the sum of its proper divisors (4602660480).

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

1451831040 is a wasteful number, since it uses less digits than its factorization.

1451831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1451831040 is about 38102.9006769826. The cubic root of 1451831040 is about 1132.3274242538.

The spelling of 1451831040 in words is "one billion, four hundred fifty-one million, eight hundred thirty-one thousand, forty".