46457400 has 96 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 11260800.

The previous prime is 46457371. The next prime is 46457407. The reversal of 46457400 is 475464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46457407) 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 23 ways as a sum of consecutive naturals, for example, 3081 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 2^46457400 is an apocalyptic number.

46457400 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 46457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78566400).

46457400 is an abundant number, since it is smaller than the sum of its proper divisors (110675400).

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

46457400 is a wasteful number, since it uses less digits than its factorization.

46457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 46457400 is about 6815.9665492137. The cubic root of 46457400 is about 359.4884710366.

It can be divided in two parts, 46 and 457400, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 46457400 in words is "forty-six million, four hundred fifty-seven thousand, four hundred".