4651046400 has 960 divisors, whose sum is σ = 20799668736. Its totient is φ = 892108800.

The previous prime is 4651046377. The next prime is 4651046447. The reversal of 4651046400 is 46401564.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4651046400² = 43264465229905920000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 357772794 + ... + 357772806.

Almost surely, 2^4651046400 is an apocalyptic number.

4651046400 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 4651046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399834368).

4651046400 is an abundant number, since it is smaller than the sum of its proper divisors (16148622336).

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

4651046400 is a wasteful number, since it uses less digits than its factorization.

4651046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4651046400 is about 68198.5806303914. The cubic root of 4651046400 is about 1669.2327262863.

Adding to 4651046400 its reverse (46401564), we get a palindrome (4697447964).

The spelling of 4651046400 in words is "four billion, six hundred fifty-one million, forty-six thousand, four hundred".