1407157640 has 64 divisors (see below), whose sum is σ = 3659126400. Its totient is φ = 477024768.

The previous prime is 1407157637. The next prime is 1407157649. The reversal of 1407157640 is 467517041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1407157640.

It is not an unprimeable number, because it can be changed into a prime (1407157649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314 + ... + 53153.

It is an arithmetic number, because the mean of its divisors is an integer number (57173850).

Almost surely, 2^1407157640 is an apocalyptic number.

1407157640 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 1407157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829563200).

1407157640 is an abundant number, since it is smaller than the sum of its proper divisors (2251968760).

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

1407157640 is a wasteful number, since it uses less digits than its factorization.

1407157640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56574 (or 56570 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 1407157640 is about 37512.0999145609. The cubic root of 1407157640 is about 1120.5921719678.

The spelling of 1407157640 in words is "one billion, four hundred seven million, one hundred fifty-seven thousand, six hundred forty".