1407005940 has 48 divisors (see below), whose sum is σ = 3974499648. Its totient is φ = 371879424.

The previous prime is 1407005939. The next prime is 1407005953. The reversal of 1407005940 is 495007041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1407005898 and 1407005907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96982 + ... + 110541.

It is an arithmetic number, because the mean of its divisors is an integer number (82802076).

Almost surely, 2^1407005940 is an apocalyptic number.

1407005940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407005940 is an abundant number, since it is smaller than the sum of its proper divisors (2567493708).

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

1407005940 is a wasteful number, since it uses less digits than its factorization.

1407005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207648 (or 207646 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1407005940 is about 37510.0778458270. The cubic root of 1407005940 is about 1120.5519016771.

The spelling of 1407005940 in words is "one billion, four hundred seven million, five thousand, nine hundred forty".