1405216820 has 96 divisors (see below), whose sum is σ = 3559852800. Its totient is φ = 455169024.

The previous prime is 1405216819. The next prime is 1405216831. The reversal of 1405216820 is 286125041.

It is a super-2 number, since 2×1405216820² = 3949268622421824800, 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 31 ways as a sum of consecutive naturals, for example, 1736576 + ... + 1737384.

It is an arithmetic number, because the mean of its divisors is an integer number (37081800).

Almost surely, 2^1405216820 is an apocalyptic number.

1405216820 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 1405216820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779926400).

1405216820 is an abundant number, since it is smaller than the sum of its proper divisors (2154635980).

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

1405216820 is a wasteful number, since it uses less digits than its factorization.

1405216820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1405216820 is about 37486.2217354590. The cubic root of 1405216820 is about 1120.0767432533.

The spelling of 1405216820 in words is "one billion, four hundred five million, two hundred sixteen thousand, eight hundred twenty".