1622048400 has 360 divisors, whose sum is σ = 6485965824. Its totient is φ = 367718400.

The previous prime is 1622048399. The next prime is 1622048401. The reversal of 1622048400 is 48402261.

1622048400 is a `hidden beast` number, since 162 + 20 + 484 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1622048399) and next prime (1622048401).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1622048401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4813032 + ... + 4813368.

Almost surely, 2^1622048400 is an apocalyptic number.

1622048400 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 1622048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242982912).

1622048400 is an abundant number, since it is smaller than the sum of its proper divisors (4863917424).

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

1622048400 is a wasteful number, since it uses less digits than its factorization.

1622048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1622048400 is about 40274.6620097550. The cubic root of 1622048400 is about 1174.9550971221.

It can be divided in two parts, 16220 and 48400, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 1622048400 in words is "one billion, six hundred twenty-two million, forty-eight thousand, four hundred".