4535007400 has 288 divisors, whose sum is σ = 13952232000. Its totient is φ = 1338163200.

The previous prime is 4535007361. The next prime is 4535007401. The reversal of 4535007400 is 47005354.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4535007401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3217896 + ... + 3219304.

It is an arithmetic number, because the mean of its divisors is an integer number (48445250).

Almost surely, 2^4535007400 is an apocalyptic number.

4535007400 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 4535007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976116000).

4535007400 is an abundant number, since it is smaller than the sum of its proper divisors (9417224600).

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

4535007400 is a wasteful number, since it uses less digits than its factorization.

4535007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 4535007400 is about 67342.4635723998. The cubic root of 4535007400 is about 1655.2337515114.

The spelling of 4535007400 in words is "four billion, five hundred thirty-five million, seven thousand, four hundred".