1407734640 has 400 divisors, whose sum is σ = 5580767808. Its totient is φ = 325804032.

The previous prime is 1407734639. The next prime is 1407734641. The reversal of 1407734640 is 464377041.

It is a happy number.

1407734640 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 7 + 3 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1407734639) and next prime (1407734641).

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 = 1407734595 and 1407734604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407734641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431589 + ... + 1432571.

Almost surely, 2^1407734640 is an apocalyptic number.

1407734640 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 1407734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790383904).

1407734640 is an abundant number, since it is smaller than the sum of its proper divisors (4173033168).

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

1407734640 is a wasteful number, since it uses less digits than its factorization.

1407734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1407734640 is about 37519.7899780902. The cubic root of 1407734640 is about 1120.7453159863.

The spelling of 1407734640 in words is "one billion, four hundred seven million, seven hundred thirty-four thousand, six hundred forty".