46745400 has 144 divisors (see below), whose sum is σ = 157255560. Its totient is φ = 11481600.

The previous prime is 46745399. The next prime is 46745437. The reversal of 46745400 is 454764.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101170 + ... + 101630.

Almost surely, 2^46745400 is an apocalyptic number.

46745400 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 46745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78627780).

46745400 is an abundant number, since it is smaller than the sum of its proper divisors (110510160).

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

46745400 is a wasteful number, since it uses less digits than its factorization.

46745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

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

The square root of 46745400 is about 6837.0607719984. The cubic root of 46745400 is about 360.2297915622.

The spelling of 46745400 in words is "forty-six million, seven hundred forty-five thousand, four hundred".