45454757400 has 288 divisors, whose sum is σ = 171544332960. Its totient is φ = 10702264320.

The previous prime is 45454757389. The next prime is 45454757429. The reversal of 45454757400 is 475745454.

45454757400 is a `hidden beast` number, since 4 + 54 + 547 + 57 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×45454757400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495972 + ... + 580428.

It is an arithmetic number, because the mean of its divisors is an integer number (595640045).

Almost surely, 2^45454757400 is an apocalyptic number.

45454757400 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 45454757400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85772166480).

45454757400 is an abundant number, since it is smaller than the sum of its proper divisors (126089575560).

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

45454757400 is a wasteful number, since it uses less digits than its factorization.

45454757400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84515 (or 84503 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 45454757400 in words is "forty-five billion, four hundred fifty-four million, seven hundred fifty-seven thousand, four hundred".