1620414400 has 168 divisors, whose sum is σ = 4539959424. Its totient is φ = 563481600.

The previous prime is 1620414359. The next prime is 1620414413. The reversal of 1620414400 is 44140261.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402799 + ... + 406801.

It is an arithmetic number, because the mean of its divisors is an integer number (27023568).

Almost surely, 2^1620414400 is an apocalyptic number.

1620414400 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 1620414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269979712).

1620414400 is an abundant number, since it is smaller than the sum of its proper divisors (2919545024).

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

1620414400 is a wasteful number, since it uses less digits than its factorization.

1620414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1620414400 is about 40254.3711912135. The cubic root of 1620414400 is about 1174.5604270938.

Adding to 1620414400 its reverse (44140261), we get a palindrome (1664554661).

The spelling of 1620414400 in words is "one billion, six hundred twenty million, four hundred fourteen thousand, four hundred".