1406954560 has 224 divisors, whose sum is σ = 3902659200. Its totient is φ = 477757440.

The previous prime is 1406954537. The next prime is 1406954573. The reversal of 1406954560 is 654596041.

It is a happy number.

It is a super-2 number, since 2×1406954560² = 3959042267809587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7289824 + ... + 7290016.

Almost surely, 2^1406954560 is an apocalyptic number.

1406954560 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 1406954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951329600).

1406954560 is an abundant number, since it is smaller than the sum of its proper divisors (2495704640).

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

1406954560 is a wasteful number, since it uses less digits than its factorization.

1406954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 1406954560 is about 37509.3929569648. The cubic root of 1406954560 is about 1120.5382616831.

The spelling of 1406954560 in words is "one billion, four hundred six million, nine hundred fifty-four thousand, five hundred sixty".