1420684440 has 384 divisors, whose sum is σ = 5212408320. Its totient is φ = 308582400.

The previous prime is 1420684427. The next prime is 1420684453. The reversal of 1420684440 is 444860241.

It is an interprime number because it is at equal distance from previous prime (1420684427) and next prime (1420684453).

It is a super-2 number, since 2×1420684440² = 4036688556116227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17116639 + ... + 17116721.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^1420684440 is an apocalyptic number.

1420684440 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 1420684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

1420684440 is an abundant number, since it is smaller than the sum of its proper divisors (3791723880).

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

1420684440 is a wasteful number, since it uses less digits than its factorization.

1420684440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1420684440 is about 37691.9678446218. The cubic root of 1420684440 is about 1124.1714234731.

The spelling of 1420684440 in words is "one billion, four hundred twenty million, six hundred eighty-four thousand, four hundred forty".