1406407680 has 264 divisors, whose sum is σ = 5088874752. Its totient is φ = 358465536.

The previous prime is 1406407661. The next prime is 1406407687. The reversal of 1406407680 is 867046041.

1406407680 is a `hidden beast` number, since 1 + 4 + 0 + 640 + 7 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406407687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059177 + ... + 1060503.

Almost surely, 2^1406407680 is an apocalyptic number.

1406407680 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 1406407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544437376).

1406407680 is an abundant number, since it is smaller than the sum of its proper divisors (3682467072).

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

1406407680 is a wasteful number, since it uses less digits than its factorization.

1406407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1406407680 is about 37502.1023410688. The cubic root of 1406407680 is about 1120.3930593202.

The spelling of 1406407680 in words is "one billion, four hundred six million, four hundred seven thousand, six hundred eighty".