1407797820 has 480 divisors, whose sum is σ = 5327562240. Its totient is φ = 306685440.

The previous prime is 1407797813. The next prime is 1407797843. The reversal of 1407797820 is 287977041.

It is a happy number.

1407797820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13667889 + ... + 13667991.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^1407797820 is an apocalyptic number.

1407797820 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 1407797820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663781120).

1407797820 is an abundant number, since it is smaller than the sum of its proper divisors (3919764420).

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

1407797820 is a wasteful number, since it uses less digits than its factorization.

1407797820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 1407797820 is about 37520.6319243160. The cubic root of 1407797820 is about 1120.7620823161.

The spelling of 1407797820 in words is "one billion, four hundred seven million, seven hundred ninety-seven thousand, eight hundred twenty".