46542400 has 84 divisors (see below), whose sum is σ = 120629680. Its totient is φ = 17625600.

The previous prime is 46542389. The next prime is 46542401. The reversal of 46542400 is 424564.

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

It is not an unprimeable number, because it can be changed into a prime (46542401) 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, 29635 + ... + 31165.

Almost surely, 2^46542400 is an apocalyptic number.

46542400 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 46542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60314840).

46542400 is an abundant number, since it is smaller than the sum of its proper divisors (74087280).

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

46542400 is a wasteful number, since it uses less digits than its factorization.

46542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 46542400 is about 6822.1990589545. The cubic root of 46542400 is about 359.7075814705.

Adding to 46542400 its reverse (424564), we get a palindrome (46966964).

The spelling of 46542400 in words is "forty-six million, five hundred forty-two thousand, four hundred".