4706342400 has 120 divisors (see below), whose sum is σ = 15547234824. Its totient is φ = 1255014400.

The previous prime is 4706342393. The next prime is 4706342437. The reversal of 4706342400 is 42436074.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22881 + ... + 99680.

Almost surely, 2^4706342400 is an apocalyptic number.

4706342400 is a gapful number since it is divisible by the number (40) 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 4706342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773617412).

4706342400 is an abundant number, since it is smaller than the sum of its proper divisors (10840892424).

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

4706342400 is a wasteful number, since it uses less digits than its factorization.

4706342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122592 (or 122571 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4706342400 is about 68602.7871153935. The cubic root of 4706342400 is about 1675.8218169623.

Adding to 4706342400 its reverse (42436074), we get a palindrome (4748778474).

The spelling of 4706342400 in words is "four billion, seven hundred six million, three hundred forty-two thousand, four hundred".