4590950400 has 576 divisors, whose sum is σ = 17487943200. Its totient is φ = 1194393600.

The previous prime is 4590950347. The next prime is 4590950401. The reversal of 4590950400 is 40590954.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4590950401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111974380 + ... + 111974420.

Almost surely, 2^4590950400 is an apocalyptic number.

4590950400 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 4590950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743971600).

4590950400 is an abundant number, since it is smaller than the sum of its proper divisors (12896992800).

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

4590950400 is an frugal number, since it uses more digits than its factorization.

4590950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4590950400 is about 67756.5524506671. The cubic root of 4590950400 is about 1662.0121726226.

The spelling of 4590950400 in words is "four billion, five hundred ninety million, nine hundred fifty thousand, four hundred".