45953400 has 192 divisors, whose sum is σ = 156240000. Its totient is φ = 11128320.

The previous prime is 45953351. The next prime is 45953423. The reversal of 45953400 is 435954.

It is a super-2 number, since 2×45953400² = 4223429943120000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 330531 + ... + 330669.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 2^45953400 is an apocalyptic number.

45953400 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 45953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

45953400 is an abundant number, since it is smaller than the sum of its proper divisors (110286600).

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

45953400 is a wasteful number, since it uses less digits than its factorization.

45953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 45953400 is about 6778.8937150541. The cubic root of 45953400 is about 358.1837534457.

The spelling of 45953400 in words is "forty-five million, nine hundred fifty-three thousand, four hundred".