1406360880 has 200 divisors, whose sum is σ = 5042784384. Its totient is φ = 362880000.

The previous prime is 1406360869. The next prime is 1406360897. The reversal of 1406360880 is 880636041.

It is a happy number.

1406360880 is a `hidden beast` number, since 1 + 40 + 6 + 3 + 608 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197380 + ... + 204380.

Almost surely, 2^1406360880 is an apocalyptic number.

1406360880 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 1406360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521392192).

1406360880 is an abundant number, since it is smaller than the sum of its proper divisors (3636423504).

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

1406360880 is a wasteful number, since it uses less digits than its factorization.

1406360880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1406360880 is about 37501.4783708589. The cubic root of 1406360880 is about 1120.3806316822.

The spelling of 1406360880 in words is "one billion, four hundred six million, three hundred sixty thousand, eight hundred eighty".