46272400 has 60 divisors (see below), whose sum is σ = 115031700. Its totient is φ = 17866240.

The previous prime is 46272379. The next prime is 46272403. The reversal of 46272400 is 427264.

It can be written as a sum of positive squares in 6 ways, for example, as 952576 + 45319824 = 976^2 + 6732^2 .

It is a super-2 number, since 2×46272400² = 4282270003520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46272403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9606 + ... + 13594.

It is an arithmetic number, because the mean of its divisors is an integer number (1917195).

Almost surely, 2^46272400 is an apocalyptic number.

46272400 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 46272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57515850).

46272400 is an abundant number, since it is smaller than the sum of its proper divisors (68759300).

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

46272400 is a wasteful number, since it uses less digits than its factorization.

46272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 46272400 is about 6802.3819357634. The cubic root of 46272400 is about 359.0106580946.

Adding to 46272400 its reverse (427264), we get a palindrome (46699664).

The spelling of 46272400 in words is "forty-six million, two hundred seventy-two thousand, four hundred".