46290400 has 72 divisors (see below), whose sum is σ = 121726584. Its totient is φ = 17088000.

The previous prime is 46290389. The next prime is 46290401. The reversal of 46290400 is 409264.

It is a super-2 number, since 2×46290400² = 4285602264320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 (46290401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8175 + ... + 12625.

It is an arithmetic number, because the mean of its divisors is an integer number (1690647).

Almost surely, 2^46290400 is an apocalyptic number.

46290400 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 46290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60863292).

46290400 is an abundant number, since it is smaller than the sum of its proper divisors (75436184).

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

46290400 is a wasteful number, since it uses less digits than its factorization.

46290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 46290400 is about 6803.7048730820. The cubic root of 46290400 is about 359.0572038691.

Adding to 46290400 its reverse (409264), we get a palindrome (46699664).

The spelling of 46290400 in words is "forty-six million, two hundred ninety thousand, four hundred".