1451474640 has 400 divisors, whose sum is σ = 6287276160. Its totient is φ = 301501440.

The previous prime is 1451474623. The next prime is 1451474659. The reversal of 1451474640 is 464741541.

It is a happy number.

1451474640 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 4 + 7 + 4 + 640 = 666.

1451474640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1451474595 and 1451474604.

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, 497506 + ... + 500414.

Almost surely, 2^1451474640 is an apocalyptic number.

1451474640 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 1451474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143638080).

1451474640 is an abundant number, since it is smaller than the sum of its proper divisors (4835801520).

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

1451474640 is a wasteful number, since it uses less digits than its factorization.

1451474640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1451474640 is about 38098.2235806343. The cubic root of 1451474640 is about 1132.2347609182.

The spelling of 1451474640 in words is "one billion, four hundred fifty-one million, four hundred seventy-four thousand, six hundred forty".